Question

A cylindrical bucket, 32 cm high and 18 cm of radius of the base, 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 cylindrical bucket = πr²h 

Here, r = 18 cm and h = 32 cm 

So, 

volume of cylindrical bucket = π (18)²(32) cm² 

When emptied on ground, volume of conical heap of sand = volume of cylindrical bucket