Question

A sphere of radius r is inscribed inside a cube. The volume enclosed between the cube and the sphere is:

Answer 1

we have

2r= d

now since it is inscribed in the cube

then,

each side of cube= d=2r

now

VOLUME ENCLOSED BETWEEN THE CUBE AND THE SPHERE=

VOLUME OF CUBE- VOLUME OF SPHERE

= (2r)^3-4pi(r)^3/3

= 8r^3- 4 pi (r)^3/3

=4r^3(2-pi/3)

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