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    Question

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    A 21 Correct Answer Incorrect Answer
    B 19 Correct Answer Incorrect Answer
    C 23 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer

    Solution

    According to the question, CSA/TSA = 2/5 ⇒ [2πRh]/[2πR(R + h)] = 2/5 ⇒ h/(R + h) = 2/5 ⇒ 5h = 2R + 2h ⇒ h = (2/3)R .......(1) The volume of a cylinder and the volume of a solid hemisphere are equal. ⇒ πR2h = (2/3)πr3 ⇒ R2 × (2/3)R = (2/3) × (21)3 ⇒ R3 = (21)3 ⇒ R = 21 सेमी ∴ The radius of its base (in cm) is 21 cm.

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