Question
Find the surface area of the smallest cube that can
perfectly fit a sphere of volume 4500Ï€ cm3 inside it. ÂSolution
Let the radius of the sphere be 'R' cm. 4500π = (4/3) x π x R3 Or, 3375 = R3 So, R = 15 So, length of edge of the cube = 15 x 2 = 30 cm Required area = 6 x 302 = 5400 cm2
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