2 Answers

Rasikh Mashhadi · Answer 1 · 2019-07-17T22:09:04+0000

The formula to find the volume of cylinder is

$\pi r^(2) h$

The radius of cylinder = 2 in

Height of the cylinder = 3 in

Substituting the values of r = 2 & h = 3

We get

Volume of cylinder

$\pi2^(2) (3)= 12\pi$

The formula to find the volume of cone is

$(1)/(3)\pi r^(2) h$

The radius of the cone is given as 3 inches

Substituting in the formula we get

$(1)/(3) \pi 3^(2)h= 3\pi h$

But the volumes are given equal

So

$3\pi h= 12\pi$

Dividing by 3
$\pi$ on both sides

we get

h = 4

The height of the cone is 4 inches.

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