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?

options are on the picture:)

Answer 1

Answer:-

The option B is the right answer.

Solution:-

$\sf h = 2d = 2 \: • \: 2r = 4r$

$\sf = \frac{1}{3} \pi {r}^{2} h$

$\sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r$

$\sf = \frac{4}{3} \pi {r}^{3} \: \green✓ $