If a condenser is 20 ft long and 6 ft in diameter, what is the volume in gallons?

To determine the volume of the condenser in gallons, we need to calculate the volume of a cylinder since a condenser is typically shaped like one. The formula for the volume ( V ) of a cylinder is given by:

[

V = \pi r^2 h

]

where ( r ) is the radius and ( h ) is the height (or length) of the cylinder.

First, we need to convert the diameter of the condenser into radius. The diameter is 6 ft, so the radius is:

[

r = \frac{diameter}{2} = \frac{6 \text{ ft}}{2} = 3 \text{ ft}

]

Next, we take the length of the condenser, which is given as 20 ft, and substitute both values into the volume formula:

[

V = \pi (3 \text{ ft})^2 (20 \text{ ft})

]

Calculating the area of the base:

[

r^2 = 3^2 = 9 \text{ ft}^2

]

We then find the volume:

[

V = \pi \times 9 \text{ ft}^2 \times