Question

Given a cone with a volume of 288, and height 7 in., find the base radius of the cone. Use 3.14 for pi. Round your answer to the

tenths place.

Answer 1

The radius of the base is
`r=6.3\ in`

Explanation:

we know that

The volume of a cone is equal to

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

we have

`V=288\ in^(3)`

`h=7\ in`

`\pi=3.14`

substitute and solve for r

`288=(1)/(3)(3.14)r^(2) (7)`

`864=(3.14)r^(2) (7)`

`r^(2)=864/[(3.14)(7)]`

`r=6.3\ in`