Find the surface area of a cylinder with a radius of 20 inches and a height of 6 inches. Use the approximation 3.14 for pi. round to the nearest hundredth
To find the surface area of a cylinder, we need to calculate the lateral surface area and the surface area of the two bases separately.
The lateral surface area of a cylinder is given by the formula:
Lateral Surface Area = 2 * pi * r * h
where pi is approximately 3.14, r is the radius, and h is the height.
Substitute the values r = 20 inches and h = 6 inches into the formula:
Lateral Surface Area = 2 * 3.14 * 20 * 6
Lateral Surface Area = 376.8 square inches
The surface area of the two bases of the cylinder is given by the formula:
Base Surface Area = 2 * pi * r^2
Substitute the value r = 20 inches into the formula:
Base Surface Area = 2 * 3.14 * 20^2
Base Surface Area = 2 * 3.14 * 400
Base Surface Area = 2512 square inches
The total surface area of the cylinder is the sum of the lateral surface area and the base surface area:
Total Surface Area = Lateral Surface Area + 2(Base Surface Area)
Total Surface Area = 376.8 + 2512
Total Surface Area = 2888.8 square inches
Therefore, the surface area of the cylinder with a radius of 20 inches and a height of 6 inches is approximately 2888.8 square inches.