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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