Question

If the volume of a cylinder is 144π and the ratio of radius to its height is 3:2 then find the curved surface area of cylinder?

A 24π unit² Correct Answer Incorrect Answer
B 40π unit² Correct Answer Incorrect Answer
C 60π unit² Correct Answer Incorrect Answer
D 48π unit² Correct Answer Incorrect Answer

Solution

Volume of cylinder = 144π ⇒ πr2h = 144π ⇒ r2h = 144 units ⇒ 9x2*4x = 144 units ⇒ x3 = 8 ⇒ x = 2 Radius = 6 units & height = 4 units. Curved surface area = 2πrh Curved surface area = 48π unit ²

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