Question

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. Express your answer in decimal form.(1 point)
cm3

Answer 1

To find the volume of a right circular cylinder, you can use the formula:

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

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

Given:
- \( r = 12 \) cm
- \( h = 32 \) cm

Now, substitute the values into the formula:

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

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

\[
(12)^2 = 144
\]

Now, substitute \( 144 \) back into the equation for volume:

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

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

\[
144 \times 32 = 4608
\]

Now, multiply by \( 3.14 \):

\[
V = 3.14 \times 4608
\]

Calculating this gives:

\[
V = 14461.92
\]

Thus, the volume of the cylinder is:

\[
\boxed{14461.92} \, \text{cm}^3
\]