The ratio of the volumes of two spheres is 8 : 27. The ratio between their surface areas is :

Asked by swetha | 2nd Jan, 2014, 07:14: AM

Expert Answer:

Given that the ratio of the volumes of two spheres is
Let R and r be the radii of the two spheres.
 
Therefore, the ratio of their respective volumes
Since it is given that the ratio is 8:27, we have
 
 
Now consider the ratios of their respective surface areas.
 
Thus, we have
 

Answered by Vimala Ramamurthy | 2nd Jan, 2014, 09:12: AM

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