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

36 cm

43.27 cm

Step-by-step explanation:

= Radius of bucket = 18 cm

= Height of bucket = 32 cm

= Radius of cone

= Height of cone = 24 cm

The volume of the cylindrical bucket and the conical heap of sand is equal so

The radius of the heap is 36 cm.

Slant height is given by

The slant height of the heap is 43.27 cm.