Advanced MathHardRadius of a cylinder from its volume and a height relation
Advanced Math practice question
A cylinder's height is twice its radius, and its volume is 54π cubic centimetres. What is the radius of the cylinder, in centimetres?
Answer: 3
V = πr²h with h = 2r: πr²(2r) = 2πr³ = 54π → r³ = 27 → r = 3.
Common wrong answers
- If you answered 6
- 6 is the height, not the radius.
- If you answered 9
- 9 is r², from solving r² = 9 as if the equation were πr² = 9π.
- If you answered 27
- 27 is r³.
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