Question

What is the volume of this cone? work shown plsss ❤️

Answer 1

Answer:

$41.888{ft}^{3}$

Step-by-step explanation:

Consider the equation for volume of a cone,

$v = \frac{1}{3} \pi {r}^{2} h$

and also note that the radius is half the diameter so in this case

$r = 2$

Now we want to plug in known values and solve for v through simple algebra,

$v = \frac{1}{3} (\pi)( {2})^{2} (10)$

$= \frac{\pi \times 4 \times 10}{3}$

$= \frac{40\pi}{3}$

when plugged in on a calculator,

$v = 41.888$