The ratio between the volumes of a sphere and a cylinder, if in the cylinder,
The ratio between the volumes of a sphere and a cylinder, if in the cylinder, height is equal to the radius of base and radii of both sphere and cylinder are equal is …………
A) 3 : 1
B) 1 : 3
C) 3 : 4
D) 4 : 3
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Correct option is: D) 4 : 3
In cylinder, h = r
\(\frac {V_1}{V_2} \) = \(\frac {volume\, of\, sphere}{volume \,of \,cylinder } = \frac {\frac 43 \pi r^3}{\pi r^2h}\)
= \(\frac {4r}{3h} = \frac {4r}{3r} = \frac 43\) (\(\because\) h = r)
Hence, the ratio of their volumes is 4 : 3
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