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

Question

asked Nov 13, 2023 50.7k views

1 Answer

Dimas Mendes · Answer 1 · 2023-11-16T23:30:25+0000

Answer:

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

Step-by-step explanation:

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

and let d be the diameter of the circle:

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:

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