Question

If the volume of a cylinder is 196π and the ratio of radius to its height is 7:4 then find the curved surface area of cylinder?

A 24π unit² Correct Answer Incorrect Answer
B 80π unit² Correct Answer Incorrect Answer
C 60π unit² Correct Answer Incorrect Answer
D 56π unit² Correct Answer Incorrect Answer

Solution

Volume of cylinder = 196π ⇒ πr2h = 196π ⇒ r2h = 196 units ⇒ 49x2*4x = 196 units ⇒ x3 = 1 ⇒ x = 1 Radius = 7 units & height = 4 units. Curved surface area = 2πrh Curved surface area = 56π unit ²

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