Question

what is the volume of the cone?

A 72 pi cm^3
B 432 pi cm^3
C 288 pi cm^3
D 144 pi cm^3

Answer 1

Data:
r (radius) = 6 cm
h (height) = 12 cm
V (volume)= ?

Formula:
$V = \frac{ \pi * r^2 * h}{3}$

Solving:
$V = \frac{ \pi * r^2 * h}{3}$
$V = \frac{ \pi * 6^2 * 12}{3}$
$V = \frac{ \pi *36*12}{3}$
$V = \frac{432 \pi }{3}$
$\boxed{\boxed{V = 144 \pi cm^3}}\end{array}}\qquad\quad\checkmark$

Answer:
D 144 pi cm^3