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Question

If the volume of a cylinder is 384π and the ratio of radius to its height is 4:3 then find the curved surface area of cylinder?

A 24π unit² Correct Answer Incorrect Answer
B 80π unit² Correct Answer Incorrect Answer
C 96π unit² Correct Answer Incorrect Answer
D 56π unit² Correct Answer Incorrect Answer
E 48π unit² Correct Answer Incorrect Answer

Solution

Volume of cylinder = 384π ⇒ πr2h = 384π ⇒ r2h = 384 units ⇒ 16x2*3x = 384 units ⇒ x3 = 8 ⇒ x = 2 Radius = 8 units & height = 6 units. Curved surface area = 2πrh Curved surface area = 96π unit ²

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