Question
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 7776Ï€ cm3 inside it. Â
Solution
Let the radius of the sphere be 'R' cm. 7776π = (4/3) x π x R3 Or, 5832 = R3 So, R = 18 So, length of edge of the cube = 18 x 2 = 36 cm Required area = 6 x 362 = 7776 cm2
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