How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?
Given,
Radius of the sphere = 8 cm
Radius of the ball we made = 1 cm
So,
Volume of sphere (when r = 1 cm) = πr3
= × 1 × 1 × 1 × π cm3
Volume of sphere (when r = 8 cm) = πr3
= × 8 × 8 × 8 × π cm3
Let the number of balls be n;
Then we have;
n × × 1 × 1 × 1 × π =
× 8 × 8 × 8 × π
n = = 512
Hence, the number of lead balls can be made is 512.