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)
a
cm3

Answer 1

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

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

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

In this case, the radius \( r = 12 \) cm and the height \( h = 32 \) cm.

Now, plug in the values:

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

Calculating \( (12)^2 \):

\[
(12)^2 = 144
\]

Now plug this back into the volume formula:

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

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

\[
144 \times 32 = 4608
\]

Now multiply by \( 3.14 \):

\[
V = 3.14 \times 4608
\]

Calculating this gives:

\[
V = 14493.92
\]

Thus, the volume of the right circular cylinder is:

\[
\boxed{14493.92 \, \text{cm}^3}
\]