Question

Determine the volume of this shape in terms of pie please show work

Answer 1

Answer:

$\pi432 {cm}^{3}$

Step-by-step explanation:

The formula to calculate the volume of a cone is

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

Since they asked that we determine the volume in terms of pi, we are not going to equate pi to its numerical value.

$r = 9 \: \: \: \: \: \: \: \: h = 16$

I am not sure if the radius is 9 cm because the image is kinda blurry. If it is not 9 cm you can input the actual radius into the formula to find the volume.

$v = \frac{(\pi {r}^{2})h }{3} \\ v = \frac{(\pi {9}^{2} )16}{3} \\ v = \frac{(\pi81)16}{3}$

$v = \frac{\pi1296}{3} \\ v = \pi432$