Question

A sphere of diameter 15.6 cm is melted and cast into a right circular cone of height 31.2 cm. Find the diameter of the base of the cone.

Answer 1

Correct Answer - 15.6 cm
`(4)/(3) pi xx 7.8 xx 7.8 xx 7.8 = (1)/(3) xx pi xx r^(2) xx 31.2 rArr r^(2) = (4 xx 7.8 xx 7.8 xx 7.8)/(31.2)`
`:. r = 7.8 rArr d= 2r = 15.6 cm`