Answer:
[tex] V_{cone} \approx 1,178.97 \: {in}^{3} [/tex]
Step-by-step explanation:
Diameter of cone = 16 in
Radius of cone r = 16/2 = 8 in
Height of cone h = 17.6 in
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\[/tex]