z. If the ratio of volumes of two s...
Question

# z. If the ratio of volumes of two spheres is 1:8, 27 then the ratio of their surface areas is (A) 1:4 (8) 1:2 (C) 1:8 (D) 1:6 on 24,000 2

JEE/Engineering Exams
Maths
Solution
114
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As we know that Volume of sphere ( =frac{4}{3} pi r^{3} ) ( therefore frac{1}{4 / 3 pi r_{2}^{3}}=frac{1}{8} ) ( Rightarrow quad frac{9_{1}}{92}=3 frac{1}{0} ) ( Rightarrow frac{r_{1}}{r_{2}}=frac{1}{2} ) Surfect are Ratio of ( =frac{4 pi 9^{2}}{9-592}=left(frac{1}{2}right)^{2}=frac{1}{4} ) swrace Area ( -frac{1}{4} )