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A solid metal sphere of radius 3 cm is fully submerged in a cylindrical vessel of radius 6 cm. What volume of water does the sphere displace?

1. 24 pi cm^3
2. 36 pi cm^3
3. 48 pi cm^3
4. 72 pi cm^3

Correct answer: 36 pi cm^3

Solution

A completely submerged sphere displaces water equal to its own volume. With r = 3 cm, volume = (4/3) pi (3)^3 = (4/3) pi (27) = 36 pi cm^3.

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