A) 1 /2 of the radius of the hemisphere
B) 1/6th of the radius of the hemisphere
C) 1/4th of the radius of the hemisphere
D) radius of the hemisphere
Correct Answer: A
Solution :
[a] Let the radius of hemisphere is R cm and the radius of each sphere is r cm. Then, according to the question, \[\frac{2}{3}\,\pi {{R}^{3}}=\frac{4}{3\,}\pi {{r}^{3}}\times 4\]\[\Rightarrow \]\[{{R}^{3}}=8{{r}^{3}}\]\[\therefore \]\[r=\frac{R}{2}\] |
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