A cylindrical bucket of radius 16 cm and height 21 cm is full of sand. The sand is emptied onto the ground, where it settles into a conical heap of base radius 24 cm. Find the height of the heap, in centimetres.

Question

Accepted Answer

28. The sand keeps its volume, so π cancels. Bucket = \π (16)^2 (21) = 5376\π cm³. Heap = 1/3\π (24)^2 h = 192\π h . So 192h = 5376 and h = 28 cm. 9.33 forgets the 1/3 on the cone; 63 keeps the bucket's radius 16 cm for the heap instead of 24 cm; 14 halves the correct height.

A cylindrical bucket of radius 16 cm and height 21 cm is full of sand. The sand is emptied onto the ground, where it settles into a conical heap of base radius 24 cm. Find the height of the heap, in centimetres.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Volume of Combined Solids practice