Question

The radius of the cone is 3 in, and the height is 4 in. What is the volume of the cone?
Now that we’ve substituted 3 for r and 4 for h, we can multiply all of the terms to find the volume of the cone. You can solve on paper if you'd like, then enter your answer on Zearn.
Write your answer in terms of π.
3
4
V
=
3
1
​
πr
2
h
V
=
3
1
​
· π · 3
2
· 4
V
=

in
3

Answer 1

To find the volume \( V \) of a cone, you can use the formula:

\[
V = \frac{1}{3} \pi r^2 h
\]

Now, substituting the given values where \( r = 3 \) inches and \( h = 4 \) inches:

\[
V = \frac{1}{3} \pi (3^2) (4)
\]

Calculating \( 3^2 \):

\[
3^2 = 9
\]

So the volume becomes:

\[
V = \frac{1}{3} \pi (9) (4)
\]

Now multiply \( 9 \) and \( 4 \):

\[
9 \cdot 4 = 36
\]

Now substitute back into the equation:

\[
V = \frac{1}{3} \pi (36)
\]

Now, dividing 36 by 3:

\[
\frac{36}{3} = 12
\]

So, the volume \( V \) is:

\[
V = 12\pi \text{ cubic inches}
\]

Thus, the final answer is:

\[
V = 12\pi \text{ in}^3
\]