Question

what is the volume of the cone below? a. 168π units³ b. 336π units³ c. 56π units³ d. 112π units³

Explanation:

Step1: Recall cone volume formula

The volume $V$ of a cone is $V = \frac{1}{3}\pi r^2 h$, where $r$ is radius, $h$ is height.

Step2: Substitute given values

Here, $r=4$, $h=21$. Substitute into formula:
$V = \frac{1}{3}\pi (4)^2 (21)$

Step3: Calculate step-by-step

First compute $(4)^2=16$, then $16 \times 21 = 336$, then $\frac{1}{3} \times 336 = 112$.
So $V = 112\pi$

Answer:

D. $112\pi$ units$^3$