Question

Calculate the volume of each cylinder
Left cylinder
Height 8
base 3
Right cylinder
Height 4
base 6

Answer 1

To calculate the volume of a cylinder, you can use the formula:

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

where \(V\) is the volume, \(r\) is the radius of the base, and \(h\) is the height of the cylinder.

### Left Cylinder:
- Height (\(h\)) = 8
- Base diameter = 3, so the radius (\(r\)) = diameter / 2 = 3 / 2 = 1.5

Now, plug the values into the volume formula:

\[
V = \pi (1.5)^2 (8)
\]
\[
V = \pi (2.25)(8)
\]
\[
V = \pi (18)
\]
\[
V \approx 56.55 \quad \text{(using } \pi \approx 3.14\text{)}
\]

### Right Cylinder:
- Height (\(h\)) = 4
- Base diameter = 6, so the radius (\(r\)) = diameter / 2 = 6 / 2 = 3

Now, plug the values into the volume formula:

\[
V = \pi (3)^2 (4)
\]
\[
V = \pi (9)(4)
\]
\[
V = \pi (36)
\]
\[
V \approx 113.10 \quad \text{(using } \pi \approx 3.14\text{)}
\]

### Summary:
- Volume of the Left Cylinder: \( \approx 56.55 \) cubic units
- Volume of the Right Cylinder: \( \approx 113.10 \) cubic units