Given:
Volume of the hemisphere:
[tex]v = \frac{2}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{2}{3} \times \pi \times {1.5}^{3} [/tex]
[tex]v = 7.07 \: {cm}^{3} [/tex]
Volume of the cylinder:
[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {1.5}^{2} \times 4[/tex]
[tex]v = 28.27 \: {cm}^{3} [/tex]
Total volume:
[tex]v = 7.07 + 28.27[/tex]
[tex]v = 35.34 \: {cm}^{3} [/tex]
Hence, the volume of the given compound shape is 35.34 cubic centimeters.
