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.

**Solution:**

Height of cylindrical bucket = h =32 cm

Radius of cylindrical bucket = r = 18 cm

Height of conical heap cm

Let slant height of conical heap cm

Let radius of cylindrical heap cm

**According to given condition we have**

**Volume of cylindrical bucket = Volume of conical heap**

**cm**

**cm**