Question

A cylindrical icecream pot of radius 6cm and height 21cm is full of icecream.The icecream is to be filled in cones of height 12cm and radius 3cm.Icecream on top of the cone has hemispherical shape.How many such cones can be filled with icecream

Answer 1

volume of cylinder = π$r^{2}$h                   = π * 6 * 6 * 21   = 2375.04 cubic cm
Volume of cone = π$r^{2}$h/3
= π * 3 * 3 * 12/3 = 113.1 cusecs
Volume of the hemisphere on the cone = 2/3 *π$r^{2}$h
= 2/3 * π * r * r * r =  56.54 cusecs
therefore total volume of cone with icecream on the top = 113.1 + 56.54 = 169.64 cusecs
no. of cones = volume of cylinder / total volume of icecream cone             = 14