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    Question

    Find the surface area of the smallest cube that can

    perfectly fit a sphere of volume 36000π cm3 inside it.  
    A 10584 cm² Correct Answer Incorrect Answer
    B 13824 cm² Correct Answer Incorrect Answer
    C 17496 cm² Correct Answer Incorrect Answer
    D 21600 cm² Correct Answer Incorrect Answer

    Solution

    Let the radius of the sphere be 'R' cm. 36000π = (4/3) x π x R3 Or, 27000 = R3 So, R = 30 So, length of edge of the cube = 30 x 2 = 60 cm Required area = 6 x 602 = 21600 cm2

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