A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? 8 in3 24 in3 48 in3 72 in3

Question

asked Apr 5, 2017 158k views

2 Answers

Josephthomas · Answer 1 · 2017-04-11T17:29:32+0000

Answer:

72 cubic inches

Explanation:

Volume of cone =
$(1)/(3)\pi r^(2) h$ --1

Volume of cylinder =
$\pi r^(2) h$ --2

We are given that a cylinder should fit exactly inside the cone

On comparing 1 and 2 we can see:

$\text{Volume of cone}= (1)/(3) \text{Volume of cylinder}$

Since we are given the volume of cone is 24 cubic inches .

So,
$24= (1)/(3) \text{Volume of cylinder}$

$24 * 3= \text{Volume of cylinder}$

$72= \text{Volume of cylinder}$

Hence the volume of cylinder is 72 cubic inches

Option D is correct.