Question

Calculate the volume of each cylinder
Left cylinder
Height 8
base 6
Right cylinder
Height 4
base 12

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

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

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

### Left Cylinder
- Height (\( h \)): 8
- Base diameter: 6, so the radius (\( r \)) is \( \frac{6}{2} = 3 \)

Calculating the volume:

\[
V = \pi r^2 h = \pi (3)^2 (8) = \pi (9)(8) = 72\pi
\]

### Right Cylinder
- Height (\( h \)): 4
- Base diameter: 12, so the radius (\( r \)) is \( \frac{12}{2} = 6 \)

Calculating the volume:

\[
V = \pi r^2 h = \pi (6)^2 (4) = \pi (36)(4) = 144\pi
\]

### Summary of Volumes
- Left Cylinder: \( 72\pi \) cubic units
- Right Cylinder: \( 144\pi \) cubic units

If you want numerical approximations, using \( \pi \approx 3.14 \):

- Left Cylinder: \( 72 \times 3.14 \approx 226.08 \) cubic units
- Right Cylinder: \( 144 \times 3.14 \approx 452.16 \) cubic units

Let me know if you need further assistance!