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0 votes
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in Mensuration by (35.6k points)
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If the volume of a hemisphere is 19404 cm3 then its radius is 

A) 7 

B) 14 

C) 21 

D) 28

2 Answers

+1 vote
by (66.4k points)
selected by
 
Best answer

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.

+1 vote
by (34.5k points)

Correct option is: C) 21

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