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    Question

    Area of a rectangle is equal to the total surface area

    of a hemisphere having volume 2000 cm┬│ . Find the perimeter of the rectangle if its length is 125% more than its breath. (Take ╧А = 3)
    A 234 cm Correct Answer Incorrect Answer
    B 247 cm Correct Answer Incorrect Answer
    C 143 cm Correct Answer Incorrect Answer
    D 130 cm Correct Answer Incorrect Answer
    E 117 cm Correct Answer Incorrect Answer

    Solution

    Let, the radius of the hemisphere be тАШrтАЩ cm. So according to question: 2/3 ├Ч 3 ├Ч r3 = 2000 r3 = 1000 r = 10 So, the total surface area of the hemisphere = 3 ├Ч ╧А ├Ч 10┬▓ = 3 ├Ч 3 ├Ч 10┬▓ = 900 cm┬▓ Let the breadth of the rectangle be тАШxтАЩ cm So the length of the rectangle = 2.25x cm According to question: x ├Ч 2.25x = 900 x┬▓ = 400 x = 20 So the breadth of the rectangle = 20 cm Length of the rectangle = 20 ├Ч 2.25 = 45 cm So the perimeter of the rectangle = 2 ├Ч (45 + 20) = 130 cm

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