A girl fills a cylindrical bucket 32 cm in height and 18 cm in radius with sand

A girl fills a cylindrical bucket 32 cm in height and 18 cm in radius with sand. She empties the bucket on the ground and makes a conical heap of the sand. If the height of the conical heap is 24 cm, then find its radius.B

Given, height of cylindrical bucket, H = 32 cm
Radius of cylindrical bucket, R = 18 cm
∴volume of sand = Volume of a cylindrical bucket
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Height of conical heap, h = 24 cm
Let the radius of the conical heap be r cm.
Then, volume of the conical heap
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According to the given condition,
Volume of the conical heap = Volume of sand
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