A cone-shaped vessel of radius 9 cm and depth 20 cm is full of water. All the water is poured into a cylindrical jar of radius 6 cm. Find the height of the water in the jar, in cm.

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Accepted Answer

15. Water = (1/3)π × 9² × 20 = (1/3)π × 1620 = 540π cm³. In the jar, π × 6² × h = 36πh, so 36h = 540 and h = 15 cm. (Forgetting the 1/3 in the cone gives 45 cm; applying a 1/3 to the jar as well gives 5 cm, but a cylinder carries no 1/3.)

A cone-shaped vessel of radius 9 cm and depth 20 cm is full of water. All the water is poured into a cylindrical jar of radius 6 cm. Find the height of the water in the jar, in cm.

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