Question

a cube and a sphere are of same height . find ratio of their volume

Answer 1

let edge length of cube = L
and radius of sphere = R

a/c to question,
L = 2R

now,
volume of cube /volume of sphere = (edge length) ³/( 4/3πR³)

= L³/(4/3πR³)

=(2R)³/(4/3πR³)

=8R³ ×3/4πR³

=6/π

hence , ratio of their volume = 6:π

Answer 2

given a,edge =h

diameter =h

thus r ,radius=h/2

volume of cube: volume of
sphere

=a^3:4/3 pi r^3

=h^3/4/3 pi( h/2)^3

=h^3*8/4*pi*h^3

=8*3/4*pi

=6/pi

=6:22/7
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