Question

There is a right circular cone of height h and vertical angle 60° .A sphere when placed inside the cone, it touches the curved surface and the base of the cone. The volume of sphere is

a) 4/3πh³
b) 4/9πh³
c) 4/27πh³
d) 4/81πh³

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Answer 1

Answer:

d

Explanation:

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Answer 2

First draw a fig of a circle inscribed on the cone

from the centre of the circle take the radius r

and height of the cone as h

now

$r \: = \frac{h}{3} \\ then \\ v = \frac{4}{3} \pi \binom{h}{3} ^{3 } \\ solving \: the \: equation \: you \: will \: get \\ v = \frac{4\pi \: {h}^{3} }{81}$

Putting the formula of cone on it

or if you have any problem in understanding this just see the attachment

your answer is option d