The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.

What is the height of the cylinder?

h = 6units

Step-by-step explanation:

The volume of a cylinder

V = πr^2h

V = volume

π = pie

r = radius

h = height

Given:

V = 24π

h = 3r

Insert the values into the formula

V = πr^2h

24π = πr^2h

Since the value of h is not given

Make h the subject of the formula

24π = πr^2h

Divide both sides by πr^2

24π / πr^2 = πr^2h/πr^2

24π/πr^2

π cancels π

= 24/r^2

24/r^2 = h

h = 24/r^2

Since h = 3r

3r = 24/r^2

3r * r^2 = 24

3r^3 = 24

Divide both sides by 3

3r^3/3 = 24/3

r^3 = 8

r = 2

Since r = 2units

h = 3r

h = 3 * 2

= 6units