Geometry and TrigonometryHardVolume of a sphere as a multiple of pi
Geometry and Trigonometry practice question
The volume of a sphere with radius r is (4/3)πr³. The volume of a sphere with radius 3 can be written as kπ. What is the value of k?
Answer: 36
(4/3)π(27) = 36π, so k = 36.
Common wrong answers
- If you answered 9
- 9 is r².
- If you answered 12
- 12 is 4 × 3, using r instead of r³.
- If you answered 108
- 108 is 4 × 27, forgetting the 1/3.
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