1 Answer

Ricard · Answer 1 · 2020-11-23T02:30:09+0000

ANSWER

h= 4in.

Step-by-step explanation

The volume of a cylinder is calculated using the formula;

$v = \pi \: {r}^(2) h$

It was given that, the cylinder has a radius of 2 inches and a height of 3 inches.

This implies that,

$v = \pi * {2}^(2) * 3$

$v =12 \pi$

The volume of a cone is given by

$v = (1)/(3) * \pi {r}^(2) h$

The cone has a radius of 3 inches:

$v=(1)/(3) * \pi * {3}^(2) h$

$v=3 \pi h$

The two volumes are the same:

This implies that,

$3 \pi h = 12\pi$

Divide both sides by 3π

h= 4in

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