Question

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

15 in^3
20 in^3
25 in^3
30 in^3

Answer 1

15
`in^(3)`

Explanation:

Given:

Volume of Cone= 5
`inch ^(3)`

Solution:

Formula:

Volume of Cone =
`(1)/(3) \pi r^(2) h`

Volume of Cylinder=
`\pi r^(2) h`

`\therefore` We can say that

Volume of Cone =
`(1)/(3) *` Volume of Cylinder

`\therefore` Volume of cylinder = 3
`*` Volume of Cone

Now Substituting given data we get

Volume of Cylinder= 3
`*`5

Volume of Cylinder= 15
`in^3`