The sum of the radius of the base and the height of a cylinder is 42 m. If the total surface area of the cylinder is 6336 mm2, find the curved surface area of the cylinder, (correct to two places of decimals) (use π =).
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 2715.43 m2.
Given that.
Radius (r) + Height (h) = 42 m
The total surface area of the cylinder is 6336 m2,
Total surface area of cylinder = 2πr(r + h)
Curved surface area (CSA) of cylinder = 2πrh sq. units
⇒ 2πr(r + h) = 6336
⇒ 2 × × r × 42 = 6336
⇒ r = 24 m
So, h = 42 - 24 = 18 m
Hence, CSA of cylinder = 2 × × 24 × 18 = 2715.43 m2