Question

A hemispherical bowl of diameter 7.2 cm is filled completely with chocolate sauce. This sauce is poured into an inverted cone of radius 4.8 cm. Find the height of the cone.

Answer 1

A volume of hemispherical bowl = `2/3 pir^3`

= `2/3 pi(3.6)^3 cm^3`

Volume of cone = `1/3 pir^2h`     ...[Volume of sauce = Volume of cone]

= `1/3 pi xx (4.8)^2 xx h = cm^3`

But Volume of bowl = Volume of cone

`= 2/3pi xx (3.6)^3`

= `1/3 pi xx (4.8)^2 xx h`

`h =  (2 xx 3.6 xx 3.6 xx 3.6)/(4.8 xx 4.8)`

= 4.05 cm