If the ratio of volumes of 2 spheres is 64 : 27 then the ratio of their curved surface areas is a) 9:16 b) 16:9 c) 3:4 d) 4:3
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Answer is given in the pic
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B) 16:9
Step-by-step explanation:
Volume of sphere = \frac{4}{3\\} * π * r^3
Ratio of volume of 2 spheres = 4/3 * pi * r^3 / 4/3 * pi * R^3
= r^3 / R^3
The ratio is given 64:27
r/R = 4/3
Curved surface area of sphere = 4πr^2
Ratio of their CSA = r^2 / R^2
= 16:9
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