A hemisphere of internal diameter 36 cm is filled with water . If this water is poured into right circular bottles of radius 3 cm and of height 6 cm , then how many bottles will be needed ?

Explanation

The radius of the hemisphere = `36/2 ` cm = 18 cm
` :. ` the volume of the hemisphere ` = 2/3 pi xx 18^(3) ` cc
The radius of each right circular bottle = 3 cm and its height = 6 cm
` :. ` The volume of each bottle ` = pi xx 3^(2) 6 ` cc
Let the number of bottles to be inded be x
` :. x xx pi xx 3^(2) xx 6 = 2/3 xx pi xx 18^(3) `
` rArr x = ( 2 xx 18 xx 18 x 18)/(3 xx 3 xx 3 xx 6 ) rArr = 72 `
Hence the required number of bottles = 72