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    Question

    Rajnish bought a rectangular canvas of size 44cm

    x 23cm and rolled it in such a way that it formed a cylindar with height as 23cm. What is the difference between the total surface area and curved surface area the cylinder thus formed?
    A 154 sq cm Correct Answer Incorrect Answer
    B 308sq cm Correct Answer Incorrect Answer
    C 343 sq cm Correct Answer Incorrect Answer
    D 368 sq cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Circumference of base of cylinder = 44 ⇒ 2πr = 44 ⇒ 2 x `22/7` [if gte msEquation 12]> 22 7 [if !msEquation]-->[endif]--> x r = 44 ∴ r = `(44 xx 7)/(2 xx 22)` [if gte msEquation 12]> 44 x 7 2 x 22 [if !msEquation]-->[endif]--> = 7 cm ∴ Difference between the total surface area and curved surface area the cylinder =2 πr² ⇒ 2 x [if gte msEquation 12]> 22 7 [if !msEquation]--> `22/7` [endif]--> x 7 x 7 = 308 cm²

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