Find the surface area of a cylinder that has a height of 20 inches and a radius of 6 inches. Use 3.14 for π

Question

. Round to the nearest hundredth.

Answer 1

To find the surface area of a cylinder, we need to calculate the lateral surface area and the two circular bases.

The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the cylinder and h is the height.

In this case, r = 6 inches and h = 20 inches. So, we can plug these values into the formula:
Lateral Surface Area = 2 * 3.14 * 6 * 20
Lateral Surface Area = 753.6 square inches

The area of a circle can be calculated using the formula:
Base Area = πr^2
where r is the radius of the circle.

For the top and bottom bases of the cylinder, the radius is still 6 inches. So, we can calculate the base area for one circle:
Base Area = 3.14 * 6^2
Base Area = 3.14 * 36
Base Area = 113.04 square inches

Since there are two bases, we can calculate the total base area by multiplying by 2:
Total Base Area = 2 * 113.04
Total Base Area = 226.08 square inches

Now we can find the total surface area by adding the lateral surface area and the two bases:
Total Surface Area = Lateral Surface Area + Total Base Area
Total Surface Area = 753.6 + 226.08
Total Surface Area = 979.68 square inches

Therefore, the surface area of the cylinder is 979.68 square inches.