Answer:
[tex]41.888{ft}^{3} [/tex]
Step-by-step explanation:
Consider the equation for volume of a cone,
[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]
and also note that the radius is half the diameter so in this case
[tex]r = 2[/tex]
Now we want to plug in known values and solve for v through simple algebra,
[tex]v = \frac{1}{3} (\pi)( {2})^{2} (10)[/tex]
[tex] = \frac{\pi \times 4 \times 10}{3} [/tex]
[tex] = \frac{40\pi}{3} [/tex]
when plugged in on a calculator,
[tex]v = 41.888[/tex]
