A cylindrical tank has a diameter of 30m and height 20m.
a) Find its volume in m³, correct to two decimal places.
b) What is the capacity of the tank in litres?​

Answers

Answer 1

Step-by-step explanation:

d = 30m, so r = 15m

h = 20m

We know,

V = πr^2h

= (22×15×15×20)/7 [Taking π = 22/7]

= 14142.86m^3

= 14142875.14 litres


Related Questions

Jimmy bought one seedless watermelon
for $2. How many watermelons can
DeShawn buy if he has $6?

Answers

Answer:

3 watermelons

Step-by-step explanation:

So this is a basic unit rate problem, so you're going to divide:

6 ÷ 2 = 3

So DeShawn can buy 3 watermelons with $6

hope this helps:)

James divides a piece of poster board into equal sections and uses the shaded sections for an art project

Answers

You’re missing a lot of information

4-56 Determine the magnitude of the moments of the force F about the x. y, and z axes Solve the problem (a) using a Cartesian vector approach and (b) using a scalar approach

Answers

(a) As of the Cartesian vector approach, Moment about axes are [tex]M_x = 13\ Ft-lb[/tex], [tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex].

(b) Using a scalar approach, Moment about axes are [tex]M_x = 13\ Ft-lb[/tex], [tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex].

What is a vector?

Vector is defined as the quantities that have both magnitude and direction is called a vector quantity and the nature of the quantity is called a vector.  

here,
[tex]\vec F = 4 \hat i + 12\hat j -3 \hat k\\ \vec B = 4 \hat i + 3\hat j - 2 \hat k\\[/tex]

Scalar approach,
moment about the x-axis is given by,
[tex]M_x = B_yF_z - ZF_y\\M_x = 3(-3)-(-2)(12)\\M_x = 13\ Ft-lb[/tex]

Similarly,
[tex]M_y = 4\ Ft-lb,[/tex] and [tex]M_z = 36\ Ft-lb[/tex]

Vector approach,
Moment about the x-axis is given by,
[tex]M_x = U_x \times[ {\vec B \times \vec F]}\\M_x = \left[\begin{array}{ccc}1&0&0\\4&3&-2\\4&12&-3\end{array}\right][/tex]

The above expression given is of determinate, when solving the above determinate,
[tex]M_x = 13\ Ft-lb[/tex]

Similarly,
[tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex],

Learn more about vectors here, https://brainly.com/question/13322477
#SPJ1


y= 2x + 7 (List 4 Ordered Pairs for the equation) 1 points each

Answers

Answer:

(1,9), (2,11), (3,13) (4,15)

Step-by-step explanation:

When u plug in those numbers for your x values, you get those numbers for the y values.

Solve by factoring


-3x^2-11x+2=0

Answers

Answer:

x = -11, 2/3

Step-by-step explanation:

-3x^2-11x+2=0

-(3x^2+11x-2) = 0

3x^2 + 11x - 2 = 0

3x^2 + 33x - 22x - 2 = 0  ==> 33-22=11 and 33/11=3 and -22/11=-2

3x(x + 11) - 2(x + 11) = 0  ==> factor

(3x - 2)(x + 11) = 0

3x - 2 = 0                x + 11 = 0

3x = 2                x + 11 - 11 = 0 - 11

{ x = 2/3                         x = -11 } ==> x = -11, 2/3

How many ways can someone purchase at least one CD from a group of 5
rock, 3 metal, and 7 punk CDs?

Answers

Answer:

Step-by-step explanation:

Heavy metal (or simply metal) is a genre of rock music that developed in the late 1960s and early 1970s, largely in the United Kingdom and the United States.

The midpoint of \overline{\text{AB}} AB is M(7, -7)M(7,−7). If the coordinates of AA are (8, -6)(8,−6), what are the coordinates of BB?

Answers

Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

How do you find the midpoint of a line segment?

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = [tex](\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = [tex](\frac{8+x2}{2} , \frac{-6+y2}{2})[/tex]

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

To learn more about midpoint of a line visit:

https://brainly.com/question/28224145

#SPJ1

Write an expression for each of these expressions:
A. Divide 36 by a
B. Subtract b from 55.
C. Add 18 to c.
D. Multiply 49 by d.
E. Divide e by 62
F. Subtract 71 from f.
es

Answers

Answer:

A. 36  ÷ a

B. 55 - b

C. 18 + c

D. 49 · d

E. e ÷ 62

F. f - 71

Constant of Variation

Find the y-intercepts of the graph y = 10/x² ?

a. There are no y-intercepts
b. y-intercept is (0,1)
c. y-intercept is (0,2)
d. y-intercept is (0,3)

Please select the best answer from the choices provided

Answers

Answer:

A. There are no y-intercepts

Step-by-step explanation:

I calculated it logically

A. There are no y-intercept

Need help plz need to turn in before 12?!?!?!

Answers

Answer:

C = π (4yd)

C = 12.6yd

Step-by-step explanation:

Answer:
12.56


Step-By-Step Explanation

Formula : pi x diameter

- Pi = 3.14
- Diameter = 4

Multiply:
3.14 x 4 = 12.56

The scores of fourth grade students on a mathematics achievement test follow a normal distribution with a mean of 75 and standard deviation of 4.
a) What is the probability that a single student randomly chosen form all those taking the test scores 80 or higher?
b) What is the probability that the sample mean score of 64 randomly selected student is 80 or higher?
c) What is the probability the sample mean score of 64 randomly selected students is between 74 and 76?

Answers

Answer:

The appropriate solution is:

(a) 0.1056

(b) 0

(c) 0.9544

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu = 75[/tex]

Standard deviation,

[tex]\sigma = 4[/tex]

(a)

⇒  [tex]P(x>80)=1-(x<80)[/tex]

                     [tex]=1-P[\frac{x-\mu}{\sigma} <\frac{80-75}{4} ][/tex]

                     [tex]=1-P[\frac{x-\mu}{\sigma} <\frac{5}{4} ][/tex]

                     [tex]=1-P(z<1.25)[/tex]

By using the table, we get

                     [tex]=1-0.8944[/tex]

                     [tex]=0.1056[/tex]

(b)

According to the question, the values are:

[tex]n[/tex] = 64

[tex]\mu_\bar{x}[/tex] = 75

Now,

⇒  [tex]\sigma_\bar{x}[/tex] = [tex]\frac{\sigma}{\sqrt{n} }[/tex]

         = [tex]\frac{4}{\sqrt{64} }[/tex]

         = [tex]\frac{4}{8}[/tex]

         = [tex]0.5[/tex]

⇒  [tex]P(\bar {x} >80 ) = 1 - P(\bar x <80 )[/tex]

                      [tex]=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ][/tex]

                      [tex]=1-P(z<10)[/tex]

By using the table, we get

                      [tex]=1-1[/tex]

                      [tex]=0[/tex]

(c)

As we know,

⇒ [tex]\sigma_\bar x[/tex] = [tex]\frac{\sigma}{\sqrt{n} }[/tex]

        = [tex]\frac{4}{\sqrt{64} }[/tex]

        = [tex]\frac{4}{8}[/tex]

        = [tex]0.5[/tex]

then,

= [tex]P(74< \bar x <76)[/tex]

= [tex]P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ][/tex]

= [tex]P(-2<z<2)[/tex]

= [tex]P(z<2)-P(z<-2)[/tex]

By using the table, we get

= [tex]0.9772-0.0228[/tex]

= [tex]0.9544[/tex]

I know it says college level, but it isn't lol.

Answers

The answer is choice A.

Considering as a side of ∆CBD, express its length in terms of variables representing side lengths and angle measures in ∆CBD. Show your work.

Answers

A side cbd express its length 14 in

The value of the common length BD would be 8 units, approximately.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The AD line is perpendicular to the line AC.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

So, We know that

  Sin A = BD / AB

  Sin A = BD / c

c Sin A = BD

Substitute angle A = 53.13 and c = 10.

BD = (10) Sin (53.13)

BD = 10 (0.79)

BD = 7.99

BD ≈ 8

The question was incomplete, but the complete question is given below.

Considering line BD as a side of ABD, express its length in terms of variables representing side lengths and angle measures in ABD. Show your work.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Can y’all pls help me solve this!!

Answers

Answer:

From left to right picture,

Scale factor = 2/3

x = 24

y = 12

z = 21

Step-by-step explanation:

Look at the two figures and identify the sides where both lengths are known.

That is the top right-hand side.

Scale factor is hence 18/27 = 2/3

Next, find x, y and z:

Bottom left-hand side:   16/x = 2/3

                                            x = 3/2 x 16

                                             x = 24

Bottom right-hand side:    y/18 = 2/3

                                            y = 18 x 2/3

                                             y = 12

Top left-hand side:       14/z = 2/3

                                           z = 3/2 x 14

                                            z = 21

Describe the error in each problem below. 36÷3+(3²•2)36÷3+9•2 36÷12•2 3•2 6​

Answers

Answer:

Step-by-step explanation:

In the last part of the problem, you have to follow PEMDAS.

Instead of you added before dividing. After the step of 36÷3+9x2 you have to divide.

Mr. Hughes gave 5/14
of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife.
If his wife got $900, what were his savings?

Answers

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

[tex]\frac{5}{14} + \frac{2}{3}(\frac{9}{14})[/tex]

As [tex]\frac{9}{14}[/tex] is the remained that his son did not get. So

[tex]\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}[/tex]

Fraction his wife got:

[tex]1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}[/tex]

If his wife got $900, what were his savings?

Total savings are x, wife got [tex]\frac{9}{42}[/tex] of x. So

[tex]\frac{9x}{42} = 900[/tex]

[tex]9x = 900*42[/tex]

[tex]x = \frac{900*42}{9}[/tex]

[tex]x = 100*42[/tex]

[tex]x = 4200[/tex]

His savings were of $4,200.

Translate the sentence into an equation.
Five times the sum of a number and 9 equals 3.
Use the variable y for the unknown number.

Answers

Answer: To translate the given sentence into an equation, we can start by replacing the words "five times the sum" with the mathematical expression "5(x + 9)". Then, we can replace the word "number" with the variable y, to get:

5(y + 9) = 3

Next, we can distribute the 5 to obtain:

5y + 45 = 3

Finally, we can subtract 45 from both sides to solve for y:

5y = -42

y = -42/5

y = -8.4

Therefore, the equation that represents the given sentence is y = -8.4.

Step-by-step explanation:

Find the slope of the line passing through each of the following pairs of points. (–7, 1) (7, 8)

Answers

Use the equation Y2 - Y1/ X2- X1 = 7/14.

Answer:

1/2

Step-by-step explanation:

Slope(m)

= (y2 - y1)/(x2 - x1)

= (8 - 1)/(7+7)

= 7/14

= 1/2


There is 42,000 litres of water in the lake this year. Find the water in the lake, a year ago if the
water of the lake is decreased by 30% every year. ​

Answers

Answer:

60,000 liters

Step-by-step explanation:

30% of 60000 = 18000

60000 - 18000 = 42000

་་བ་ཆེ། འོན་ཏེ་ ས་གནས་ཀྱི འན
རས་ན། ན་ནས། ན་བ་ བས་ ཆུ་​

Answers

Answer:

???

Step-by-step explanation:

I will give branliest! My problem is NUHUHH

Answers

What? I don’t get it?

Step-by-step explanation:

Ok so basically you have to do

BRAINLIST! Please help

Answers

In the right triangle ABC with altitude BD on hypotenuse AC, the length of AC is 40.

what is triangle ?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. Triangle angles add up to 180 degrees when combined together.

given

Use similar triangles,

BAC and DAB are similar

therefore

CA/AB = BA/AD

CA/20 = 20/10

cross multiply

AC = CA = 20*20/10 = 40

Or use metric relations

CA*AD = BA^2

CA = BA^2/AD = 20^2/10 = 40

In the right triangle ABC with altitude BD on hypotenuse AC, the length of AC is 40.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

A model of a railroad car has a Scale Ratio of 1:87.1. If the model railroad car is 1.4 in high, how
tall is the actual railroad car?

Please answer this for me quick it’s due on Monday for me!!!

Answers

Answer:

The scale ratio of 1:87.1 means that for every 1 unit of measurement on the model (in this case, inches), there are 87.1 units of measurement on the actual railroad car. This means that the actual railroad car is 87.1 times larger than the model in every dimension. If the model is 1.4 inches tall, the actual railroad car would be 1.4 x 87.1 = <<1.4*87.1=122.54>>122.54 inches tall.

a A' (1, 1), B' (3, 9), C' (9, 3)

b A' (-1, -1), B' (-1, -3), C' (-3, -3)

c A' (3, 3), B' (9, 3), C' (3, 9)

d A' (3, 3), B' (3, 9), C' (9, 3)

Answers

Answer:

c is incorrect

Step-by-step explanation:

the ratio of students to adults at the open house is 9:7 suppose there are 832 students and adults at the open house. how many students are there​

Answers

Answer:

To determine the number of students at the open house, you can use the fact that the ratio of students to adults is 9:7 and set up the following proportion:

students/adults = 9/7

You can then cross-multiply to find the value of "students":

7 * students = 9 * adults

7 * students = 9 * (832/(9+7))

7 * students = 832

students = 832 / 7

students = approximately 118.85714285714 students

To determine the number of students at the open house, you can use the fact that the ratio of students to adults is 9:7 and set up the following proportion:

Copy code

students/adults = 9/7

You can then cross-multiply to find the value of "students":

Copy code

7 * students = 9 * adults

7 * students = 9 * (832/(9+7))

7 * students = 832

students = 832 / 7

students = approximately 118.85714285714 students

Since the number of students must be an integer, the number of students at the open house is approximately 118 students.

Step-by-step explanation:

Which of the following is the correct equation for the trend line in the scatter plot?

Answers

The equation of the trend line will be : Y = (1/4)x - 1.

What is trend line in scatter plots?A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all.

Given is a scatter plot a shown in the image.

The general equation of a straight line is -

y = mx + c

{m} - slope

{c} - intercept along the y - axis

We can find the slope as follows. The line passes through the points -

(4, 0) and (0, - 1). We can write -

m = (- 1 - 0)/(0 - 4)

m = - 1/-4

m = 1/4

and

[c] = - 1

So the equation of the trend line will be -

Y = (1/4)x - 1

Therefore, the equation of the trend line will be : Y = (1/4)x - 1.

To solve more questions on correlation, visit the link below -

https://brainly.com/question/28898177

#SPJ1

A project requires you to figure out the area of a triangular lot. You take measurements and find that the lot has a base of 32 ft., while the altitude of the triangle, or height is 24 ft. What's the area of this lot?

Answers

We are asked to find the area of the given triangle with a base of 32ft and a height of 24ft.

Area of a triangle, A=(1/2)bh, where b is the base and h is the height.

Plug in the given information:

A=(1/2)(32)(24)

=> A=384 ft^2

Ayudaaaaa porfavor

Convertir las unidades de medida

8 000 m = _______ km
4 000 g = _______ kg
3 000 m = ________ km
7 m = _________ cm
30 mm _________ cm
10 cm ________ mm
70 mm ___________ cm
10 L = ____________ ml
800 cm = _________ m
6 kg = __________ g

Answers

8,000 m = 12,874.75 km

4,000 g = 4 kg

3,000 m = 4,828.032 km

7 m = ?

30 mm = 3 cm

10 cm = 100 mm

70 mm = 7 cm

10 L = 10,000 ml

800 cm = 0.00497097 m

6 kg = 6,000 g

I hope that this was helpful to you!

The O'Neil family is taking a road trip. Their final destination is more than 243 miles from their house, and so far they have traveled 157 miles. Their
car can travel 21.5 miles on a gallon of gas. Which number line shows the solution set for the number of gallons of gas the O'Neil family needs to
reach their destination?

Answers

Answer:

The solution you are looking for is D.)

Step-by-step explanation:

To determine this, we need to find the amount of miles left they need to travel (243 - 157 = 86). Then we can divide that by the amount of miles per gallon (86 / 21.5 = 4). Because a possible solution to the answer is 4, we know that the dot needs to be solid (filled in), and because the solution can be greater than four, the arrow would be directed to the right / positive side of the line.

If I bought 3 shirts that cost the same and I got a coupon for 10 dollars off and I spent 65 altogether what equation can be used to find the cost of the shirt

Answers

I think this is the answer
65+10/3
Hope this helps
Other Questions
What is the experimental probability of NOT landing on green22%25%75%78% What is the function of the countercurrent system of flow? How can the graph of f(x) = 35x be transformed to represent the function g(x) = 35x 3?Translate the graph of f(x) - 3 units.The point is on the graph of g(x). Include at least 5-6 words that represent themes or big-picture words for this new era. Define TWO of the most significant words. Provide brief background information about the modern era.No linksNeed this ASAP A number cube is tossed 60 times.Outcome Frequency1 122 133 114 65 106 8Determine the experimental probability of landing on a number less than 2. 35 over 60 25 over 60 13 over 60 12 over 60 a decrease of 70% in9,600 gal 8w - 12 = 44I need the stepsthis is for 30 points When a hydrogen atom is part of a molecular structure, it is always a ___________ atom. Group of answer choices /-1 Central Terminal Can someone please help me with this? PLEASE HELP!! Im rlly struggling with my hw rn Seismic-wave velocity can change (increase or decrease) as the waves pass through different rock types. What is the wealth gap ? Which type of plant tissue produces new, undifferentiated cells? epidermis ground meristematic vascular Credit unions are for-profit organizations. O A True . False 3/5 of carl's money is $27.00. how much is 1/2 of his money The term structured, when discussing structured methodologies, refers to the fact that:A) the finished software is highly documented.B) the development process is highly documented.C) the techniques are step by step, with each step building on the previous one.D) a defined hierarchy of objects and classes are used to structure the programming.E) programming objects are organized into structured classes. During their discussion, Jolon makes several statements about energy. Which statement is correct? O "Energy in a system changes depending on what kind of energy is in the system." O "Energy in a system always switches between kinetic " and potential forms O "Energy in a system can be increased if work is inserted into the system from outside." O "Energy in a system is always constant." ______ leadership approaches attempt to determine the unique behaviors used by effective leaders. What are the 5 main evidences that support Darwin's theory of evolution? what system works with the respiratory system to circulate blood and oxygen throughout the body