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Oksana_A [137]
3 years ago
11

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radiu

s of 3 inches. What is the height of the cone ? I need this ASAP hurry!!!!
Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

ANSWER

h= 4in.

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  \times  {2}^{2}  \times 3

v =12 \pi

The volume of a cone is given by

v = \frac{1}{3} \times  \pi {r}^{2} h

The cone has a radius of 3 inches:

v=\frac{1}{3} \times  \pi  \times {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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