A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied out 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 the cylindrical bucket =32 cm
Radius of the cylindrical bucket = 18 cm
Volume of the bucket = πr2 h
=π × 182 × 32 cm3
Height of the conical heap =24 cm
Let Radius of the conical heap =r cm
Volume of conical heap
Volume of conical heap=Volume of cylindrical bucket
⇒ r2 = 1296 cm
⇒ r = 36 cm
Slant height
∴ slant height