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
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 : 3hÂ
Substitute (1) in the above equation
4r : 3(2r) = 2:3
Hence, option B is the correct answer.
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