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.
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