Given:
- Hemisphere ×2 or sphere
- Cylinder
Solution:
Volume of the sphere:
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times {2}^{3} [/tex]
[tex]v = 33.51 \: {m}^{3} [/tex]
Volume of the cylinder:
[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {2}^{2} \times 6[/tex]
[tex]v = 75.40 \: {m}^{3} [/tex]
Total volume:
[tex]v = 75.40 + 33.51[/tex]
[tex]v = 108.91 \: {m}^{3} [/tex]
Hence, the volume of the given compound shape is 108.91 cubic meters.
