Question
Find the surface area of the smallest cube that can
perfectly fit a sphere of volume 18432Ο cm3 inside it.Β ΒSolution
Let the radius of the sphere be 'R' cm. 18432Ο = (4/3) x Ο x R3 Or, 13824 = R3 So, R = 24 So, length of edge of the cube = 24 x 2 = 48 cm Required area = 6 x 482 = 13824 cm2
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