Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27nft3. Which equation gives the volume of the sphere

Answer 1

It's (A.) guys

Explanation:

Answer 2

The volume of the sphere is
`V=18\pi\ ft^(3)`

Explanation:

we know that

The volume of cylinder is equal to

`V=\pi r^(2)h`

we have

`V=27\pi\ ft^(3)`

substitute

`27\pi=\pi r^(2)h`

simplify

`27=r^(2)h`

Remember that

A sphere and a cylinder have the same radius and height

so

The height of cylinder is equal to the diameter of sphere

h=2r

substitute

`27=r^(2)(2r)`

`13.5=r^(3)` -----> equation A

The volume of the sphere is equal to

`V=(4)/(3)\pi r^(3)`

substitute equation A in the formula of the volume of sphere

`V=(4)/(3)\pi (13.5)`

`V=18\pi\ ft^(3)`