Question

A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such spheres can be made?

Options

• 4

• 8

• 32

• 16

Answer 1

8

Explanation:

Number of smaller spheres = `"Volume of bigger sphere"/"Volume of smaller sphere"`

= `(4/3 π xx (4)^3)/(4/3 π xx (2)^3)`

= `(4 xx 4 xx 4)/(2 xx 2 xx 2)`

= 8