Question

How many balls, each of radius 1cm, can be made from a solid sphere of lead of radius 8cm?

Answer 1

Answer:

Volume of the spherical ball of radius 8 cm

=(3/4)× π × (8^3) cm^3

Also, volume of each smaller spherical ball of radius 1 cm

=(3/4)× π × (1^3) cm^3

Let n be the number of smaller balls that can be made. Then, the volume of the larger ball is equal to the sum of all the volumes of n smaller balls.

Hence, (3/4)× π× n = (3/4)× π × (8^3)

⇒ n = (8^3) = 512

Hence, the required number of balls = 512.

NOTE: HERE ^ REFERS TO THE POWER SYMBOL.