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CBSE Class 9 Answered

The volumes of two spheres are in the ratio 125:64.If the radius is increased by 30% in first sphere and 50% in second sphere, then the ratio between their surface  A)144:121 B)125:64 C)1:1 D)169:144
Asked by adalroshan2464 | 17 Nov, 2018, 06:17: PM
answered-by-expert Expert Answer
If radii of two spheres are R1 and R2 , then volume ratio of two spheres = R13 : R23 = 125 : 64 = 53 : 43
 
Ratio of radii , R1 : R2 = 5 : 4
 
if the first radius is increased by 30% and second radius is increased by 50%, then modified ratio = 5(1+0.3) : 4(1+0.5) = 6.5 : 6
 
ratio of surface area of spheres =  R12 : R22 = (6.5)2 : 62 = 42.25 : 36 which is same as 169 : 144
Answered by Thiyagarajan K | 17 Nov, 2018, 10:45: PM

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