If the volume of a hemisphere is 19404 cm^3 then its radius is A) 7 B) 14 C) 21 D) 28
If the volume of a hemisphere is 19404 cm3 then its radius is
A) 7
B) 14
C) 21
D) 28
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Correct option is: C) 21
Let the radius of the hemisphere be r.
\(\therefore\) Volume of the hemisphere = \(\frac 23 \pi r^3\)
Given that the volume of hemisphere is 19404 \(cm^3\)
\(\therefore\) \(\frac 23 \pi r^3\) =19404
= \(r^3 = 19404 \times \frac 32 \times \frac 7{22} = 441 \times 21 = 21^3\)
\(\therefore\) r = 21 cm
Hence, the radius of the hemisphere is 21 cm.
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