1. The radii of a sphere and a right circular cylinder are equal and their curved surface areas are also equal. The ratio of their volumes is
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By: anil on 05 May 2019 02.25 am
Curved surface area of sphere = $$4 pi r^{2}$$ Curved surface area of a right circular cylinder = $$2 pi rh$$ As per the given question these two are equal, $$4 pi r^{2}$$ = $$2 pi rh$$
h = 2r ........(1) Required ratio, $$frac{4}{3} pi r^{3}$$ : $$pi r^{2} h$$ 4r : 3h Substitute (1) in the above equation 4r : 3(2r) = 2:3 Hence, option B is the correct answer.
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h = 2r ........(1) Required ratio, $$frac{4}{3} pi r^{3}$$ : $$pi r^{2} h$$ 4r : 3h Substitute (1) in the above equation 4r : 3(2r) = 2:3 Hence, option B is the correct answer.