Question

Volume of a hemisphere is 352/21m3.Its radius is

Answer 1

Volume of hemisphere = [tex] \frac{2}{3} \pi r^{3} = \frac{352}{21} \\ \\ \pi = \frac{22}{7} \\ \\ \frac{2}{3}\times \frac{22}{7}\times r^{3} = \frac{352}{21} \\ \\ r^{3} = \frac{21}{44} \times \frac{352}{21} = \frac{352}{44} = 8 \\ \\ \implies r = 2 m[/tex]

Answer 2

Sol.) Volume of hemisphere = 352/21 m³ (Given).

∵ Volume of sphere = 4/3πr³

where,

π = 22/7

and

r = radius,

∴ Volume of hemisphere = (4/3πr³)/2

Volume of hemisphere = 2/3πr³

352/21 = 2/3 * 22/7 * r³

352/21 = 44/21 * r³

352 * 21/21 * 44 = r³

352/44 = r³

8 = r³

r = 3√8

r = 2 m

∴ Its radius is 2 m. Ans.