Question

A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.

Answer 1

Volume of cylinder=Volume of Cone
=`pir^2h=1/3pir^2h`
=`r^2=(3R^2H)/h`
=`r^2=(3(18)^2(32))/24`
`r=36 cm`
`l=sqrt(r^2+h^2)`
`l=sqrt(36^2+24^2)`
`l=4sqrt117`