What is the volume in cubic inches of a drum that is 15 inches in radius and 36 inches in height, when packaging according to Method 55?

To determine the volume of a drum shaped like a cylinder, the formula used is:

[ \text{Volume} = \pi r^2 h ]

Where:

• ( r ) is the radius of the cylinder
• ( h ) is the height of the cylinder
• ( \pi ) is approximately 3.14159

In this case, the radius is given as 15 inches and the height is 36 inches.

First, we calculate the area of the base (the circular top of the drum):

[ \pi r^2 = \pi (15^2) = \pi (225) \approx 706.85775 , \text{square inches} ]

Next, we multiply this area by the height of the cylinder to find the total volume:

[ \text{Volume} = \pi (225) (36) ]

Calculating further:

[ 225 \times 36 = 8100 ]

Now, multiply by ( \pi ):

[ \text{Volume} \approx 706.85775 \times 36 \approx 25447.115 , \text{cubic inches} ]

Rounding this to three significant figures