Question

A cylinder has volume 45π and radius 3. What is it’s height?

Answer 1

Answer:

H = 5 units

Step-by-step explanation:

Given data:

Volume V = 45 π and radius  r = 3 units

The formula for the volume of the cylinder is  V = B · H

Base of the cylinder is:

B = r² π = 3² π = 9 π

From the formula  V = B · H we get H:

H = V / B = 45 π / 9 π = 5 units

H = 5 units

God with you!!!

Answer 2

Cylinder's bases are two congruent circles in parallel palne. The height of the cylinder whose volume is 45π will be 5 units.

What is a cylinder?

The cylinder is a traditional solid 3D object whose both bases are circles that is congruent to each other and is in two different parallel planes. The volume of a cylinder is given by the formula,

$V = \pi r^2 h$

where V is the volume

r is the radius of the base

h is the height of the cylinder.

Given to us

Volume of the cylinder, V = 45π

Radius of the cylinder, r = 3

We know about the formula of the volume of the cylinder, applying the formula we will get,

$V = \pi r^2 h$

substitute the values,

$45\pi = \pi (3)^2 h\\\\45 = 9h\\\\h = 5\rm\ units$

Hence, the height of the cylinder whose volume is 45π will be 5 units.

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