Question

If h = 12 units and r = 4 units, what is the volume of the cone shown above?
Use 3.14 for
.
A.
602.88 cubic units
B.
50.24 cubic units
C.
200.96 cubic units
D.
12.56 cubic units

Answer 1

To find the volume of a cone, you can use the formula:

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

Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

Given:
- \( h = 12 \) units,
- \( r = 4 \) units.

Now, substitute the values into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times (4^2) \times 12
\]

Calculating \( 4^2 \):

\[
4^2 = 16
\]

Now plug it into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 16 \times 12
\]

Calculating \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now substitute it back into the equation:

\[
V = \frac{1}{3} \times 3.14 \times 192
\]

Calculating \( 3.14 \times 192 \):

\[
3.14 \times 192 = 602.88
\]

Now, divide by 3:

\[
V = \frac{602.88}{3} = 200.96
\]

Thus, the volume of the cone is:

\[
\boxed{200.96} \text{ cubic units}
\]