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 = (1)/(3) \pi {r}^(2) h`

`\sf = (1)/(3) \pi {r}^(2) \: • \: 4r`

`\sf = (4)/(3) \pi {r}^(3) \: \green✓`