What is the surface area of a cylinder with a diameter of 8' and height of 15', excluding the top and bottom?

To determine the surface area of a cylinder (excluding the top and bottom), you can use the formula for the lateral surface area, which is calculated as:

Lateral Surface Area = 2πrh

In this formula:

• r is the radius of the cylinder, which is half of the diameter.

• h is the height of the cylinder.

For a cylinder with a diameter of 8 feet, the radius would be 8 feet divided by 2, resulting in a radius of 4 feet. The height is given as 15 feet.

Now, substitute the values for r and h into the formula:

Lateral Surface Area = 2π(4 ft)(15 ft)

Calculating that step-by-step:

1. Calculate the product of the radius and height: 4 ft * 15 ft = 60 ft².

2. Multiply by 2 to account for the lateral surface (the curved part): 2 * 60 ft² = 120 ft².

3. Now, multiply by π (approximately 3.14): 120 ft² * π ≈ 376.8 ft².

This calculation leads to a total lateral surface area of approximately 376.8 square feet. Therefore, this