Question

How do I find the value of the cone in terms of pi??

Answer 1

`V=\pi^{}mi^3`

Step-by-step explanation:

Step 1. Let h be the height of the cone:

`h=3mi`

and let d be the diameter of the circle:

`d=2mi`

From the diameter we can find the radius of the circle:

`\begin{gathered} r=(d)/(2) \\ \downarrow\downarrow \\ r=(2mi)/(2) \\ \downarrow\downarrow \\ r=1mi \end{gathered}`

Step 2. To find the volume of a cone we use the following formula:

`V=(\pi r^2h)/(3)`

Step 3. Substituting the values of r and h into the formula:

`V=(\pi(1mi)^2(3mi))/(3)`

Solving the operations:

`\begin{gathered} V=(\pi(1mi^2)(3mi))/(3) \\ \downarrow\downarrow \\ V=\frac{3\pi^{}}{3}mi^3 \end{gathered}`

The result is:

`V=\pi^{}mi^3`

The volume is pi cubic miles.

Answer:

`V=\pi^{}mi^3`