The curved surface area and the volume of a cylinder is 264 cm2 and 924 cm3, respectively. What is the ratio of its radius to its height? (Take π = 22/7)
Show answer & explanation
Correct answer: B
Explanation
The correct Answer is Option 2 i.e 7 : 6
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Concept |
Understanding |
Application |
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Cylinder: Curved surface area = 2πrh Volume = πr2h
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Given: 2πrh = 264 ...(1) πr2h = 924 …(2) |
Dividing 1 by 2: r/2 = 924/264 ⇒ r/2 = 7/2 ⇒ r = 7 From 1: 2 × 22/7 × 7 × h = 264 ⇒ h = 264/44 ⇒ h = 6 cm Hence, r : h = 7 : 6 |