Question

A cylindrical bucket 32 cm high and 18 cm of radius of the base 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.

Answer 1

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Answer 2

Given
The height of the conical heap = 24 cm
The radius of the heap is same as the radius of cylinder bucket.
Therefore the radios of the conical heap = 18 cm

In a cone
length² = height² + radius²
length² = 24² + 18²
length² = 576 + 324
length = √900 = 30 cm

The slant height of the conical heap = 30 cm