Question

Calculate the volume of each cylinder.
Left cylinder
H= 8
B= 3
Right cylinder
H= 4
B= 6

Answer 1

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

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

where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately \( 3.14159 \).

For your cylinders, it seems that \( B \) is given as the diameter, so we can find the radius \( r \) by dividing the diameter by 2:

\[
r = \frac{B}{2}
\]

### Left Cylinder:
- Height \( H = 8 \)
- Diameter \( B = 3 \)

1. Calculate the radius:
\[
r = \frac{3}{2} = 1.5
\]

2. Calculate the volume:
\[
V = \pi (1.5)^2 (8) = \pi (2.25)(8) = 18\pi
\]

The volume of the left cylinder is \( 18\pi \) cubic units.

### Right Cylinder:
- Height \( H = 4 \)
- Diameter \( B = 6 \)

1. Calculate the radius:
\[
r = \frac{6}{2} = 3
\]

2. Calculate the volume:
\[
V = \pi (3)^2 (4) = \pi (9)(4) = 36\pi
\]

The volume of the right cylinder is \( 36\pi \) cubic units.

### Summary:
- Volume of the left cylinder: \( 18\pi \) cubic units (approximately \( 56.55 \) cubic units).
- Volume of the right cylinder: \( 36\pi \) cubic units (approximately \( 113.10 \) cubic units).