A cylinder's radius and height are in a 2:5 ratio. Its volume is 2000π cm³ . Find the radius.
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Correct answer: C
Explanation
Radius : Height = 2 : 5
Volume = 2000π
According to the formula:
Volume = πr²h
r = 2x, h = 5x
⇒ π(2x)²(5x) = 2000π
⇒ 20x³ = 2000
⇒ x³ = 100
⇒ x = 4.64
⇒ r = 2x =2 × 4.64 = 9.28 cm