# Thread: Can Somebody Check My Work? (Only 5 questions.)

1. ## Can Somebody Check My Work? (Only 5 questions.)

1: Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Do not type anything besides numerals and decimals)
254.46

2: Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?
6.97

3:
Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
6 cm

4:
Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of pi.
C = 14π; A = 49π

5:
The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 375 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? (Do not type anything besides numerals and decimals)
375

That's all. Please let me know how I did!

2. ## Re: Can Somebody Check My Work? (Only 5 questions.)

Originally Posted by quixoticideals

1: Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Do not type anything besides numerals and decimals)

2: Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?
6.97 Again, I get a slightly different answer. How did you arrive at this?

3:
Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
6 cm This is wrong? How did you get it?

4:
Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of pi.
C = 14π; A = 49π Correct

5:
The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 375 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? (Do not type anything besides numerals and decimals)
375 This question depends on a picture that we cannot see, but for the life of me I cannot imagine how your answer can be wrong

That's all. Please let me know how I did!
Please show your work for the first three problems. We cannot tell you where you may be going wrong if we cannot see what you have done.

3. ## Re: Can Somebody Check My Work? (Only 5 questions.)

Hello, quixoticideals!

1: Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius.
Use 3.14 for pi and round your answer to the nearest hundredth.
. . 254.46 .?

$\displaystyle V \:=\:\pi r^2h$

We are given: .$\displaystyle r = 3,\,h = 9.$

Therefore: .$\displaystyle V \;=\;\pi(3^2)(9) \;=\;81\pi \;\approx\;81(3.14) \;=\;254.34$

2: Given a soda can with a volume of 21 and a diameter of 6,
what is the volume of a cone that fits perfectly inside the soda can?
. . 6.97 . ?

$\displaystyle \text{Volume of cylinder: }\:\pi r^2h$
$\displaystyle \text{Volume of cone: }\:\tfrac{1}{3}\pi r^2h$

The volume of the cone is one-third the volume of the cylinder.

Answer: .$\displaystyle \tfrac{1}{3}(21) \:=\:7$

3: Given a cube with a volume of 36 cm3,
what is the volume of a square pyramid that can fit perfectly inside the cube?
. . 6 cm

This has similar formula.

The volume of the pyramid is one-third the volume of the cube.

4: Find the circumference and area of a circle with a diameter of 14 inches.
. . C = 14π; A = 49π . Correct!

5. The stack on the left is made up of 15 pennies,
and the stack on the right is also made up of 15 pennies.
If the volume of the stack of pennies on the left is 375 mm3,
what is the volume of the stack of pennies on the right in cubic millimeters?
. . 375

Are the two stacks exactly the same height?
Or is one of them different?

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### The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 360 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? Use 3.14

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