Question

I HAVE THE ANSWER JUST SOLVE WITH EXPLANATION PLEASE HELP ASAP

Answer 1

V=871 cubic inches

Explanation:

The formula for the volume of a cone is V=
`\pi`
`r^(2)`
`(h)/(3)`

V=
`\pi`
`8^(2)`
`(13)/(3)`

V=
`\pi`(64)(4.3333)

V=
`\pi`(277.333)

V=871.2683

V=871 cubic inches

Answer 2

The volume of the cone to the nearest whole unit is 871 in³.

Explanation:

The formula for the volume of a cone is:

`\boxed{V=(1)/(3)\pi r^2h}`

where:

• V = volume.
• r = radius of the circular base.
• h = perpendicular height.

From inspection of the given diagram:

• r = 8 in
• h = 13 in

Substitute the values of r and h into the formula and solve for V:

`\begin{aligned}\implies V&=(1)/(3) \pi r^2 h\\\\&=(1)/(3) \pi \cdot (8)^2 \cdot 13\\\\&=(1)/(3) \pi \cdot 64 \cdot 13\\\\&=(1)/(3) \pi \cdot 832\\\\&=(832)/(3) \pi\\\\&=871.26836...\; \sf in^3\end{aligned}`

Therefore, the volume of the cone to the nearest whole unit is 871 in³.