A girl fills a cylindrical bucket 32 cm in height and 18 cm in radius with sand. She empties the bucket on the ground and makes a conical heap of the sand. If the height of the conical heap is 24 cm, then find its radius.B

Given, height of cylindrical bucket, H = 32 cm

Radius of cylindrical bucket, R = 18 cm

âˆ´volume of sand = Volume of a cylindrical bucket

Height of conical heap, h = 24 cm

Let the radius of the conical heap be r cm.

Then, volume of the conical heap

According to the given condition,

Volume of the conical heap = Volume of sand