Question

If a cone shaped vase can hold 45 cubic centimeter of water and has a radius of 2 centimeters what is the height of the vase use 3.14 for pi round to the nearest hundredth

Answer 1

The height of the vase is
`h=10.75\ cm`

Explanation:

we know that

The volume of a cone is equal to

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

we have

`V=45\ cm^(3)`

`r=2\ cm`

`\pi =3.14`

substitute and solve for h

`45=(1)/(3)(3.14)(2)^(2) h`

`135=(3.14)(4)h`

`135=12.56h`

`h=135/12.56`

`h=10.75\ cm`