Question

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. Express your answer in decimal form.

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, and \( h \) is the height.

1. First, we need to find the radius. The diameter of the cylinder is given as 18 cm, so the radius \( r \) can be calculated as:

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

2. Now, we can substitute the values of \( r \), \( h \), and \( \pi \) into the volume formula. The height \( h \) is given as 7 cm and we will use \( \pi = 3.14 \):

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

3. Calculate \( (9 \text{ cm})^2 \):

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

4. Substitute this back into the volume formula:

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

5. Calculate \( 3.14 \times 81 \):

\[
3.14 \times 81 = 254.34
\]

6. Now, multiply that result by the height \( 7 \text{ cm} \):

\[
V = 254.34 \times 7 = 1780.38 \text{ cm}^3
\]

Therefore, the volume of the right circular cylinder is

\[
\boxed{1780.38} \text{ cm}^3
\]