Question

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?

a. 2 unitsB. 4 unitsC. 6 unitsD. 8 units

Answer 1

6

Explanation:

Answer 2

`h=3r\\\\r=(h)/(3)\\\\V=\pi r^2\cdot h\\\\24\pi=\pi\left((h)/(3)\right)^(2)\cdot h\\\\9\cdot 24=h^3\\\\h=\sqrt[3]{3\cdot3\cdot3\cdot8}\\\\h=6`

The appropriate choice is
C. 6 units