Given:
Volume of the cone:
[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex]v = \frac{1}{3} \times \pi \times {10}^{2} \times 10[/tex]
[tex]v = 1047.20 \: {cm}^{3} [/tex]
Volume of the cylinder:
[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {10}^{2} \times 10[/tex]
[tex]v = 3141.59 \: {cm}^{3} [/tex]
Total volume:
[tex]v = 1047.20 + 3141.59[/tex]
[tex]v = 4188.79 \: {cm}^{3} [/tex]
Hence, the volume of the given cone shape is 4188.79 cubic centimeters.
