Question

A solid hemispherical piece of gold with diameter 1.2 *10^2 cm is to be melted into identical solid cuboids. The dimensions of the cuboids are 30 ,12 cm cm and 10cm . Find the number of cuboids that can be made from the hemisphere.

Answer 1

Diameter=1.2×100=120cm

Radius=Diameter/2=120/2=60cm

volume of cuboid=30×12×10=3600cm

volume of hemisphere=2/3πr^3

=2/3 × 3.14 × 60 × 60 × 60

=2/3 × 3.14 × 216000

=6.28 × 72000

=452160

Hope it helps you