The radius of base of a solid right circular iron - rod is 32 cm and the length of the rod is 35 cm . How many solid right circular cone of radius of base 8 cm and of height 28 cm can be made by melting this rod ?

Explanation

The radius of the base of the rod = 32 cm
and its length = 35 cm
` :.` volume of the rod ` = pi xx (32)^(2) xx 35 ` cc
Again , the radius of base of each cone = 8 cm
and height of each cone = 28 cm
` :. ` volume = ` 1/3 xx pi xx (8)^(2) xx 28 xx x = pi xx (32)^(2) xx 35 `
` rArr x= ( 32 xx 32 xx 35 xx 3)/(8xx 8xx 28 ) `
` rArr x = 60 `
Hence the required number of solid cone is 60 .