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Two spheres are of radii in the ratio 3 : 5, then ratio of their surface areas is A) 16 : 1 B) 25 : 9 C) 9 : 16 D) 9 : 25 |
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Answer» Correct option is: D) 9 : 25 Given that \(\frac {r_1}{r_2} = \frac35\) \(\therefore\) \(\frac {S_1}{S_2} = \frac {4\pi r_1^2}{4 \pi r_2^2} = (\frac {r_1}{r_2} )^2 = (\frac 35)^2 = \frac {9}{25} = 9:25\) Hence, the ratio of their surface areas is 9 : 25. Correct option is: D) 9 : 25 |
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