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:)

asked Mar 5, 2022 164k views

2 votes

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:)

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3 votes

Answer:-

The option B is the right answer.

Solution:-

$\sf h = 2d = 2 \: • \: 2r = 4r$

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

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

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

Psycho answered Mar 11, 2022

5.2k points

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