Question

Find the volume of a right circular cylinder with a height of 32 cm and a radius of 12 cm. Use 3.14 for π . Include two decimal places.(1 point) cm3

Answer 1

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

\[
V = \pi r^2 h
\]

where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.

Given:
- Radius \( r = 12 \) cm,
- Height \( h = 32 \) cm,
- \( \pi \approx 3.14 \).

Now, substituting the values into the formula:

\[
V = 3.14 \times (12)^2 \times 32
\]

First, calculate \( (12)^2 \):

\[
(12)^2 = 144
\]

Now substitute back into the equation:

\[
V = 3.14 \times 144 \times 32
\]

Next, calculate \( 144 \times 32 \):

\[
144 \times 32 = 4608
\]

Now, substitute this value into the volume formula:

\[
V = 3.14 \times 4608
\]

Finally, perform the multiplication:

\[
V = 14462.72
\]

Thus, the volume of the cylinder is:

\[
\boxed{14462.72} \, \text{cm}^3
\]