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    Question

    Which of the following is the correct relation between

    Quantity I and Quantity II? Quantity I: A cylindrical tank has a radius of 10 cm and a height of 20 cm. Find the total surface area of the tank. Quantity II: A conical tank has a radius of 10 cm and a height of 20 cm. Find the total surface area of the tank.
    A Quantity I = Quantity II Correct Answer Incorrect Answer
    B Quantity I > Quantity II Correct Answer Incorrect Answer
    C Quantity I < Quantity II Correct Answer Incorrect Answer
    D Quantity I тЙе Quantity II Correct Answer Incorrect Answer
    E Quantity I тЙд Quantity II Correct Answer Incorrect Answer

    Solution

    Quantity I: Surface area of a cylinder = 2╧Аr(h + r) = 2╧А ├Ч 10 ├Ч (20 + 10) = 2╧А ├Ч 10 ├Ч 30 = 600╧А cm┬▓ Quantity II: Surface area of a cone = ╧Аr(l + r), where l is the slant height Slant height, l = тИЪ(r┬▓ + h┬▓) = тИЪ(10┬▓ + 20┬▓) = тИЪ100 + 400 = тИЪ500 тЙИ 22.36 cm Surface area = ╧А ├Ч 10 ├Ч (22.36 + 10) = ╧А ├Ч 10 ├Ч 32.36 тЙИ 323.6╧А cm┬▓ Comparing Quantity I and Quantity II: Quantity I = 600╧А cm┬▓ Quantity II тЙИ 323.6╧А cm┬▓ Now, comparing: Quantity I > Quantity II Therefore, the correct option is: B

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