Question

A new cyclindrical swimming pool is being built at the local rec center. It has a radius of 13 feet and a height of 6 feet. Tim determined that 1,014 pi ft3 of water would be needed to fill the pool, but jasmine calculated that 3,185.57 ft3 of water would be needed. Explain who calculated the volume properly.

Answer 1

Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

Answer 2

Answer: Both calculated the volume properly.

Explanation:

The formula for calculate the volume of a cylinder is:

`V=r^2h\pi`

Where r is the radius and h is the height.

You know that the radius of the cyclindrical swimming pool is 13 feet and the height is 6 feet.

Substitute these values into the formula. Then, the volume is:

`V=(13ft)^2(6ft)\pi=1,014\pi`
`ft^3` or
`V=3,185.57ft^3`

Therefore, both calculated the volume properly.