Question

Find the volume of a right circular cylinder with a height of 7 cm and a diameter of 18 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 of the base,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14.

First, find the radius. The diameter is given as 18 cm, so the radius \( r \) is half of the diameter:

\[
r = \frac{diameter}{2} = \frac{18 \text{ cm}}{2} = 9 \text{ cm}
\]

Now, substitute the values into the volume formula:

\[
V = 3.14 \times (9 \text{ cm})^2 \times 7 \text{ cm}
\]

Calculating \( (9 \text{ cm})^2 \):

\[
(9 \text{ cm})^2 = 81 \text{ cm}^2
\]

Now substitute that back into the volume formula:

\[
V = 3.14 \times 81 \text{ cm}^2 \times 7 \text{ cm}
\]

Calculate \( 81 \times 7 \):

\[
81 \times 7 = 567
\]

Now substitute that value:

\[
V = 3.14 \times 567 \text{ cm}^3
\]

Finally, calculate the volume:

\[
V = 3.14 \times 567 \approx 1781.58 \text{ cm}^3
\]

So, the volume of the right circular cylinder is:

\[
\boxed{1781.58} \text{ cm}^3
\]