Question

How many spherical balls can be made out of a metal solid cube of lead whose edge measures 66cm and each ball being 3cm inradius

Answer 1

edge=a√3

66=a√3

a=66/√3

=38cm

v(cube)

=a×a×a

=38×38×38

=54872 cm.cb

v(sphere)=4/3×π×r×r×r

=4/3× 22/7× 3×3×3

=528/7

=75.4 cm.cb

no. of spheres=v(cube)/v(sphere)

=727(approx.)