Question

I NEED HELP ASAP!!!!

Answer 1

392 (pi) in^3

Answer 2

`392\pi \: {in}^(3)`

solution,

radius=7 in

Slant height=25 in

`h = \sqrt{ {(slant \: height}^(2) - {(radius)}^(2) } \\ = \sqrt{ {(25)}^(2) - {(7)}^(2) } \\ = √(625 - 49) \\ = √(576) \\ = \sqrt{ {(24)}^(2) } \\ = 24 \: in`

Volume of cone:

`(1)/(3) \pi \: {r}^(2) h \\ = (1)/(3) * \pi * {(7)}^(2) * 24 \\ = (1)/(3) * \pi * 49 * 24 \\ = 392\pi \: {in}^(3)`

hope this helps...

Good luck on your assignment...