Question

Find the volume of a right circular cylinder with a height of 5 cm and a diameter of 6 cm. Use 3.14 for π . Include two decimal places. (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, and \( h \) is the height of the cylinder.

1. First, we need to find the radius. The diameter of the cylinder is 6 cm, so the radius \( r \) is half of the diameter:

\[
r = \frac{6 \text{ cm}}{2} = 3 \text{ cm}
\]

2. Now we can plug the radius and height into the volume formula. Given that the height \( h \) is 5 cm, we can substitute the values:

\[
V = 3.14 \times (3 \text{ cm})^2 \times 5 \text{ cm}
\]

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

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

4. Now substitute this back into the volume formula:

\[
V = 3.14 \times 9 \text{ cm}^2 \times 5 \text{ cm}
\]

5. Calculate \( 9 \text{ cm}^2 \times 5 \text{ cm} \):

\[
9 \text{ cm}^2 \times 5 \text{ cm} = 45 \text{ cm}^3
\]

6. Now substitute into the equation for volume:

\[
V = 3.14 \times 45 \text{ cm}^3
\]

7. Calculate \( 3.14 \times 45 \):

\[
V = 141.3 \text{ cm}^3
\]

Therefore, the volume of the cylinder is

\[
\boxed{141.30} \, \text{cm}^3
\]