Question : If the diameter of a solid hemisphere is 12.6 cm, then its volume is (take $\pi=\frac{22}{7}$):
Option 1: 1,259 cm3
Option 2: 987 cm3
Option 3: 523.908 cm3
Option 4: 1,235.621 cm3
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Correct Answer: 523.908 cm 3
Solution :
Given: Diameter = 12.6 cm
⇒ radius, $r$ = 6.3 cm
Volume of the hemisphere = $\frac{2}{3}\pi r^3$
$=\frac{2}{3}\times \frac{22}{7}\times (6.3)^3$
$= \frac{11002.068}{21}=$ 523.908 cm
3
Hence, the correct answer is 523.908 cm
3
.
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