Question

    Tanmay bought a rectangular canvas of size 264cm x 180 cm and rolled it in such a way that it formed a cylindrical shape with height as 180 cm. What is the area of the base of the cylinder?

    A 5,544 sq cm Correct Answer Incorrect Answer
    B 4,900 sq cm Correct Answer Incorrect Answer
    C 6,224 sq cm Correct Answer Incorrect Answer
    D 5,580 sq cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Circumference of base of cylinder = 264 ⇒ 2πr = 264 ⇒ 2 x 22/7 x r = 264 ∴ r = (264 x 7 )/(2 x 22) = 42 cm ∴ Area of base of cylinder = πr² ⇒ 22/7 x 42 x 42= 5,544 cm²

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