A cylindrical bucket of radius 12 cm and height 15 cm is full of sand. The sand is emptied onto the ground and forms a conical heap of radius 24 cm. Find the height of the heap in cm.

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Accepted Answer

11.25. Volume of sand = π × 12² × 15 = 2160π cm³. For the heap, (1/3)π × 24² × h = 192πh. Setting 192h = 2160 gives h = 11.25 cm.

A cylindrical bucket of radius 12 cm and height 15 cm is full of sand. The sand is emptied onto the ground and forms a conical heap of radius 24 cm. Find the height of the heap in cm.

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