Question

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

Answer 1

`\pi432 {cm}^(3)`

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 = ((\pi81)16)/(3)`

`v = (\pi1296)/(3) \\ v = \pi432`