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    Question

    Find the surface area of the smallest cube that can

    perfectly fit a sphere of volume 47916π 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 26136 cm² Correct Answer Incorrect Answer

    Solution

    Let the radius of the sphere be 'R' cm. 47916π = (4/3) x π x R3 Or, 35937 = R3 So, R = 33 So, length of edge of the cube = 33 x 2 = 66 cm Required area = 6 x 662 = 26136 cm2

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