If ratio of radius to height of a cylinder in 7 : 6 and curved surface area of…

2021

If ratio of radius to height of a cylinder in 7 : 6 and curved surface area of cylinder is 1056 cm2 , then find the total surface area of cylinder?

  1. A.

    2218 cm²

  2. B.

    2228 cm²

  3. C.

    2248 cm²

  4. D.

    2288 cm²

  5. E.

    2268 cm²

Show answer & explanation

Correct answer: D

Let r:h = 7:6, so r = 7x and h = 6x. CSA = 2πrh = 264x² = 1056, so x = 2. TSA = 2πr(r+h) = 2288 cm².

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