16Hit1600
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.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.