Question

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

Answer 1

The volume \( V \) of a right circular cylinder can be calculated using the formula:

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

where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder, and
- \( \pi \) is a constant approximately equal to 3.14.

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

Now substitute the values into the formula:

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

First, calculate \( 12^2 \):

\[
12^2 = 144
\]

Next, substitute this back into the volume formula:

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

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

\[
144 \times 32 = 4608
\]

Now multiply by \( \pi \):

\[
V = 3.14 \times 4608
\]

Calculating:

\[
V = 14465.92
\]

Thus, the volume of the right circular cylinder is:

\[
\boxed{14465.92 \, \text{cm}^3}
\]