Question

A cylinder has a radius of 3 feet and a height of 7 feet. Which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder?

(3.14)(72(3)
(3 144722(3)
(3.14)(3)(7)
(3,141(2277)

Answer 1

`(3.14)(3)(7)`

Explanation:

we know that

The volume of the cone is equal to

`V=(1)/(3)\pi r^(2) h`

we have that the radius and the height of the cone will be equal to the radius and the height of the cylinder

so

`r=3\ ft`

`h=7\ ft`

`\pi =3.14`

substitute the given values

`V=(1)/(3)(3.14)(3)^(2) (7)`

`V=(1)/(3)(3.14)(9)(7)`

Simplify

`V=(3.14)(3)(7)`