Question

02:32:00

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24z Cubic units.
What is the height of the cylinder?
O 2 units
O
o 6units
O8 units
4 units

Answer 1

The volume is given by

`V=\pi hr^2`

Since the height is 3 times the radius of the base, we can substitute
`h=3r`:

`V=\pi (3r)r^2=3\pi r^3`

And we know that the volume is
`24\pi` (I'm actually assuming that there's a typo in the question, otherwise the options wouldn't match):

`24\pi=3\pi r^3 \iff r^3=8 \iff r=2`

The height is 3 times the radius, so it is

`h=2\cdot 3 = 6`