Question

question 16
a cone has a radius of 3 cm and a height of 4 cm. what is its volume?
18π cm³
9π cm³
12π cm³
36π cm³

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: Substitute values

Given $r = 3$ cm and $h=4$ cm, substitute into the formula: $V=\frac{1}{3}\pi\times(3)^{2}\times4$.

Step3: Calculate

First, $(3)^{2}=9$, then $\frac{1}{3}\times9\times4\pi = 12\pi$ $cm^{3}$.

Answer:

C. $12\pi$ $cm^{3}$