Question

question 9 of 10 what is the volume of the cone below? a. 336π units³ b. 168π units³ c. 112π units³ d. 56π units³

Explanation:

Step1: Recall volume formula

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

Step2: Identify values

From the figure, $r = 4$ and $h=21$.

Step3: Substitute values

Substitute $r = 4$ and $h = 21$ into the formula: $V=\frac{1}{3}\pi\times4^{2}\times21$.

Step4: Calculate

First, $4^{2}=16$, then $\frac{1}{3}\times16\times21=\frac{16\times21}{3}=112$. So $V = 112\pi$ units$^{3}$.

Answer:

C. $112\pi$ units$^{3}$