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Ratio of the volumes of a sphere of radius 'r' and a cylinder of radius 'r' and height '2r' is:
Question

Ratio of the volumes of a sphere of radius 'r' and a cylinder of radius 'r' and height '2r' is:

A.

3 : 2

B.

2 : 3

C.

3 : 5

D.

5 : 4

Correct option is B

Given:
Radius of sphere = r
Radius of cylinder = r
Height of cylinder = 2r
Formula Used:
Volumes of the sphere = 43π×r3\frac43 \pi \times r^3​​
Volumes of cylinder = π×r2×h\pi\times r^2\times h​​
Solution:

43×πr3:πr2×2r2:3\frac{4}{3} \times \pi r^3 : \pi r^2 \times 2r \\2 : 3

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