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?

Question

asked Aug 19, 2021 29.3k views

1 Answer

HasanToufiqAhamed · Answer 1 · 2021-08-23T15:42:37+0000

Answer:

B

Explanation:

Formula for finding the volume of a cone:
$V=\pi r^(2) (h)/(3)$

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

h = 4r.

Substitute h into the volume formula:

$V=\pi r^(2) (4r)/(3)$

Rearrange to get the final equation of:

$V=(4)/(3) \pi r^(3)$