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

Explanation

Radius of metallic ball = 1 cm
Volume of one ball `=(4)/(3)pi(1)^(3)=(4)/(3)pi cm^(3)`
Radius of sphere = 8 cm
`therefore` Volume of sphere `=(4)/(3)pi(8)^(3)cm^(3)`
Now, the number of metallic balls `=("volume of sphere")/("volume of one ball")=((4)/(3)pi (8)^(3))/((4)/(3)pi)`
`=(8)^(3)=512`