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    Question

    A cylindrical tank of height 10 m and radius 5 m has a

    small circular cut of 0.5 m radius on its top surface. What would be the total surface area of the tank?
    A 150π m² Correct Answer Incorrect Answer
    B 599π/4 m² Correct Answer Incorrect Answer
    C 156π m² Correct Answer Incorrect Answer
    D 299/2π² Correct Answer Incorrect Answer

    Solution

    Given: Height = 10 m Radius of cylinder = 5 m ⇒ R² = 25 Radius of hole = 0.5 m ⇒ r² = 0.25 Formula: TSA = 2πR² − πr² + 2πRh = 2π(25) − π(0.25) + 2π(5)(10) = 50π − 0.25π + 100π = 149.75π = (599π)⁄4 m²

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