Question : If the diameter of a hemisphere is 35 cm, then what is the volume of the hemisphere?
Option 1: 11229.17 cm3
Option 2: 15248.46 cm3
Option 3: 17428.33 cm3
Option 4: 9478.26 cm3
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Correct Answer: 11229.17 cm 3
Solution : Given the diameter of the hemisphere = 35 cm ⇒ Radius = $\frac{35}{2}$ cm The volume of the hemisphere = $\frac{2}{3}\pi r^3$ = $\frac{2}{3}\times \frac{22}{7}\times \frac{35}{2}\times \frac{35}{2}\times \frac{35}{2}$ = $\frac{22\times 5\times 35\times 35}{3\times 2\times 2}$ = $\frac{134750}{12}$ = $11229.17\ \mathrm{cm^3}$ Hence, the correct answer is 11229.17 cm 3 .
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