Question

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?​

Answer 1

Answer:

B

Step-by-step explanation:

Formula for finding the volume of a cone:  $V=\pi r^{2} \frac{h}{3}$

From the question, we can tell that the height, h, is equal to 2d or 4r.

h = 4r.

Substitute h into the volume formula:

$V=\pi r^{2} \frac{4r}{3}$

Rearrange to get the final equation of:

$V=\frac{4}{3} \pi r^{3}$