Question

The volume of a cone with a height of 4 cm is 12π cubic cm. What is the radius of the base?

Answer 1

Answer:

r = 6cm

Step-by-step explanation:

Solve for r:

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

$12\pi = \frac{1}{3} \pi {r}^{2} \\ 12\pi = \frac{\pi {r}^{2} }{3} \\ 3 \times 12\pi = \pi {r}^{2} \\ 36\pi = \pi {r}^{2} \\ \frac{36\pi}{\pi} = \frac{\pi {r}^{2} }{\pi} \\ \sqrt{ {r}^{2} } = \sqrt{36} \\ r = 6$