To find the volume of a hemisphere, we use half the volume of a sphere.
</p><pdata−pxy="true"style="color:rgb(0,0,0);margin−top:2px;margin−bottom:2px;">Fora<b>hemisphere</b>:<br>V = \frac{1}{2} \times \frac{4}{3}\pi r^3 = \frac{2}{3}\pi r^3<br></p><pdata−pxy="true"style="color:rgb(0,0,0);margin−top:2px;margin−bottom:2px;">Nowsubstitute(r=63)cm:</p><pdata−pxy="true"style="color:rgb(0,0,0);margin−top:2px;margin−bottom:2px;">V = \frac{2}{3}\pi (6\sqrt{3})^3<br>(6\sqrt{3})^3 = 6^3 \times (\sqrt{3})^3 = 216 \times 3\sqrt{3} = 648\sqrt{3}<br></p><pdata−pxy="true"style="color:rgb(0,0,0);margin−top:2px;margin−bottom:2px;">V = \frac{2}{3}\pi \times 648\sqrt{3}<br></p><pdata−pxy="true"style="color:rgb(0,0,0);margin−top:2px;margin−bottom:2px;">V = 2 \times 216\pi \sqrt{3}<br></p><pdata−pxy="true"style="color:rgb(0,0,0);margin−top:2px;margin−bottom:2px;">V = 432\pi \sqrt{3} \ \text{cm}^3$
