Question

If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r, then find the height of the cone.

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

$volume \: of \: sphere \: = \frac{4}{3} \pi \: r {}^{3}$

$volume \: of \: cone = \frac{1}{3} \pi {r}^{2} h$

radius of sphere = 2r

radius of cone = r

A/Q,

Volume of sphere = volume of cone

4/3 ×π×2× r³ = 1/3πr²h

(4 ×8)/3 = 1/3h

h = 32

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