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in Surface Areas And Volumes by (26.9k points)
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A sphere and a cube are of the same height. The ratio of their volumes is :

A. 3 : 4 

B. 21: 11 

C. 4 : 3 

D. 11 : 21

1 Answer

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Best answer

Option : (D)

Volume of a cube = side3 

Volume of a sphere = \(\frac{4}{3}\)πr3 

Given,

sphere and a cube are of the same height. 

Side = diameter = 2r 

Ratio of their volumes = \(\frac{\frac{4}{3}\times \frac{22}{7}\times r^3}{(2r)^3}\)

= 11 : 21

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