V_{\text{hemisphere}} = \frac{1}{2} \times \frac{4}{3} \pi r^3 = \frac{2}{3} \pi r^3
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- For the sphere with radius \(3\) units:
- V_{\text{sphere}} = \frac{4}{3} \pi (3)^3 = \frac{4}{3} \pi \times 27 = 36\pi
- The volume \(V\) of a hemisphere with radius \(r\) is half the volume of a sphere:
- For the hemisphere with radius \(6\) units:
- V_{\text{hemisphere}} = \frac{2}{3} \pi (6)^3 = \frac{2}{3} \pi \times 216 = 144\pi
- The ratio of the volume of the sphere to the volume of the hemisphere is:
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