If the area of the circular base of a hemisphere is \(308 {cm}^2\), find the volume of the hemisphere

हम जानते हैं:
वृत्त का क्षेत्रफल = $\pi r^2 = 308$

$\frac{22}{7} \times r^2 = 308$
$r^2 = 98 \Rightarrow r = 7\sqrt{2}$

अब, अर्धगोले का आयतन:
$V = \frac{2}{3} \pi r^3$

$V = \frac{2}{3} \times \frac{22}{7} \times (7\sqrt{2})^3$

$(7\sqrt{2})^3 = 686\sqrt{2}$

$V = \frac{2}{3} \times \frac{22}{7} \times 686\sqrt{2}$
$V = \frac{4312\sqrt{2}}{3}$

$V \approx 1437.33\sqrt{2}$