Mathematics High School

A 15 meter long cylinder with a diameter of 7 meters has a square prism
with a base length of 4 meters hole going all the way through the center of
it as shown in the diagram (not to scale). Find the volume of the composite
shape rounding to the nearest cubic meter.

Answers

Answer 1

Answer:

The volume of the composite figure is approximately 337.27 m³

Step-by-step explanation:

The given parameters are;

The length of the cylinder, L = 15 meters

The diameter of the cylinder, D = 7 meters

The base length of the square prism, B = 4 meters

We note that the square diagonal of the square = √(4² + 4²) = 4·√2 ≈ 5.66 meters, fits in the cylinder

Therefore, we have;

The volume of the composite figure = The volume of the cylinder - The volume of the square prism

The volume of the cylinder = π/4 × D² × L = π/4 × 7² × 15 ≈ 577.27 m³

The volume of the square prism = B² × L = 4² × 15 = 240 m³

∴ The volume of the composite figure ≈ 577.27 m³ - 240 m³ ≈ 337.27 m³

The volume of the composite figure ≈ 337.27 m³.

Related Questions

Find the slope of (-1,3) and (2,5)

Answers

Answer:

slope should be 3

Step-by-step explanation:

i used my calculator

A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds

Answers

Given:

A rocket is 1.5 miles above the earth in 20 seconds.

It is 8 miles above the earth in 2 minutes.

To find:

The rockets rate of change in miles per seconds.

Solution:

Let y be the height above the earth after x seconds.

A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).

It is 8 miles above the earth in 2 minutes.

1 minute = 60 seconds

2 minutes = 120 seconds

So, the point is (120,8).

The rockets rate of change in miles per seconds is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{8-1.5}{120-20}[/tex]

[tex]m=\dfrac{6.5}{100}[/tex]

[tex]m=0.065[/tex]

Therefore, the rockets rate of change is 0.065 miles per seconds .

Is (-2, 1) a solution to the system
x -y = -3
y = -2x + 5

Answers

Answer:

No, I believe the solution is (2/3, 11/3)

Step-by-step explanation:

Marco placed the letters in the word PROBABILITY in a bag. What is the probability that he drew the letter I?

Answers

Answer:

4 out of 11

Step-by-step explanation:

Answer:

2/11

Step-by-step explanation:

Number of letters in the word PROBABILITY  -  11Number of letters I in the word PROBABILITY  -  2

Formula

Probability = favorable outcomes / total outcomes

Probability of drawing the letter I

2/11

What is the value of 9 + 21 (13 + 5)?
287
395
387
540
plus brainlyest and im being timed

Answers

Answer:

540

Step-by-step explanation:

A new brand of refrigerators and air conditioners saves 15% on power use. Your present monthly power bill averages $200. What would be your monthly savings by using this new brand?

Answers

Answer:

$170

Step-by-step explanation:

15 percent of 200 is 30 and 30 minus 200 would be 170

170 :))))):)))))))))

2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:

Answers

Answer: 177

Step-by-step explanation:

Ben drink tea ant an incredible rate

Answers

Answer:

??????????????

Step-by-step explanation:

I am not getting the question

What is the discriminant of the quadratic equation, 4x^2-8x-5=0​

Answers

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer:

[tex]\Delta=144[/tex]

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

[tex]\Delta=b^2-4ac[/tex]

We have the equation:

[tex]4x^2-8x-5=0[/tex]

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

[tex]\Delta=(-8)^2-4(4)(-5)[/tex]

Evaluate:

[tex]\Delta=64+80[/tex]

Add:

[tex]\Delta=144[/tex]

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.

Can you give me the answer? Ill give brainliest for the right answer

Answers

Answer:

I believe the answer is b

Step-by-step explanation:

I might be wrong

Answer:

A. -1

Step-by-step explanation:

ΔY/ΔX= 1/-1 =-1

help please ahahah i hate this sm i really need help

Answers

Answer:

-7/6

Step-by-step explanation:

- take two values of x and their corresponding two values of y

- use the slope formula ( y2 - y1 )/( x2 - x1 )

- i used x values 4 and 10 but you can use any

( -6 - (-13) ) / ( 4 - 10 ) = -7/6

It should be -7/6 hope you got it correct

3x2 + x = 2
Solve Real and imaginary solutions

Answers

Answer:

3*2+x=2

6+x=2

subtract 6 on both sides

x= -4

Step-by-step explanation:

five plus negative three

Answers

Answer:

2

5-3=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

whats the slope to this ​

Answers

Answer:

-14/15

Step-by-step explanation:

y^2 - y^1
-11-0/-15-3
-11/-18

what is p in this situation? if u answer correct ill mark you brainliest.

Answers

The answer is p = - 1/12
It’s a fraction btw with a negative in front of it .

The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.

340.1 ÷ 9.5 = 358

Answers

Answer:

35.8

Step-by-step explanation:

                [tex]\frac{340.1}{9.5}[/tex]  = 358

 We know that our answer can never be greater than 358 since the dividend

is 340.1 and the divisor is 9.5;

  Also,

  Both values are to one decimal places and we can use this to solve the problem;

  9 can divide 340 in about 37 place with a remainder of 7,

    So, it is appropriate to make the solution 35.8

Write the equation of the line that passes through the points (-8, -1) and (5-7).

Answers

Slope: -7-(-1)/5-(-8)= -6/13
Point-Slope: y-(-1)=-6/13(x-(-8))
y+1=-6/13x-48/13
y=-6/13x-61/13

Adding 0 to any number leaves it unchanged. For example a + 0 = a.

Answers

Answer:

true

Step-by-step explanation:

❤️✨

Yep that's correct XD

I NEED HELPP

Evalute if x=6, y=8, and z=3

yz - x

Answers

Answer:

18 and 10.

Step-by-step explanation:

yz - x

= 8*3 - 6

= 24 - 6

= 18

2(x + z) - y

= 2(6 + 3) - 8

= 2 * 9 - 8

= 18 - 8

= 10

How do I find the missing sides in this triangle?

Answers

Answer: y=8 and x=8[tex]\sqrt{3}[/tex]

Use the normal 30 60 90 triangle to get y as 16/2, or 8 and x as 16*sqrt3, or

Jazmin has a coupon for 20% off a meal at The Canteen. She goes out to eat with two friends and their total bill is $37.50. After the coupon, how much is their meal? If they split the bill between the three of them, how much will they each pay?

Answers

Answer:10$

Step-by-step explanation:37.50 - 7.50 = 30.00

There are 3 counselors assigned to each group of 24 campers, how many campers would there be if there was 9 counselors ​

Answers

There would be 72 campers because if you divided 24 by 3 it gives you 8 and than you’ll multiply 8 by 9 and it’ll give you 72.

Answer:

72 campers

Step-by-step explanation:

To solve this problem, first we know that there are 3 counselors for every 24 campers. To get from 3 campers to 9 campers, you would need to multiply 3 by 3. If you do this with the campers, you would also need to multiply the counselors (24) by 3 as well. 24 times 3 = 72.

So, if there are 9 counselors, there would need to be 72 campers.

item
A sloppy joe restaurant gave 10 napkins for
every 7 items ordered. If someone bought 49
items, how many napkins should they get?
napkins

Answers

Answer: 70

Step-by-step explanation: 49 / 7 is 7 so 7 x 10 is 70

Evaluate the expression 2[x(2y+3z)] when x=8, y=3, and z=1. Show all steps below.

plz help me and show steps

Answers

Answer:

Step-by-step explanation:

Putting values

2[8(2(3)+ 3(1)]

2(8(9)

2(72)

144

Select all of the statements that can be determined from the table given

Answers

Answer:

B and D since the table tells that the answers B and D are correct

Answer:

B. There is a y-intercept at (0,-2)

Step-by-step explanation:

I did what the other answer said, but apparently the only right answer in your case is B.


What is the value of X?

Answers

X=87
All angles in a triangle add up to 180
51+42=93
180-93=87

Answer:

I THINK ITS 61

Step-by-step explanation:

Please help

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

The answer is none I’m pretty sure

Find the slope of the line that passes through (7, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer,

Answers

Answer:

-3/2

Step-by-step explanation:

Visualize it or write it out.

ITS MORE THAN ONE QUESTION PLEASE HELP 50 POINTS ITS URGENT

Answers

Answer:

what is the question?...

Please Help! need a step by step answer will give brainly

Answers

Answer:

If I know I will defiantly answer .but where is the question

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