Question

Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is the surface area of the drum?

Answer 1

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

$area = 2*\pi*r^2 + 2*\pi*r*h$

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

$area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}$

The surface area of the drum is 3317.5218 square inches.