A water tank is in the shape of a right circular cylinder. The diameter is 8 feet and the height is 21.5 feet find the surface area of the water tank use 3.14. For h+r
To find the surface area of the water tank, we need to find the lateral surface area of the cylinder (the curved surface) and the area of the two circular bases.
The lateral surface area of a right circular cylinder is given by the formula:
Lateral Surface Area = 2πrh
Where r is the radius of the cylinder and h is the height.
Given the diameter of the cylinder is 8 feet, the radius (r) is half of the diameter:
r = 8/2 = 4 feet
The height (h) is 21.5 feet.
Now, we can plug in these values into the formula to find the lateral surface area:
Lateral Surface Area = 2 * 3.14 * 4 * 21.5
Lateral Surface Area = 537.68 square feet
The area of each circular base is given by the formula:
Base Area = πr^2
Now, we can calculate the area of both circular bases:
Base Area = 3.14 * 4^2
Base Area = 3.14 * 16
Base Area = 50.24 square feet
The total surface area of the water tank is the sum of the lateral surface area and the area of both circular bases:
Total Surface Area = Lateral Surface Area + 2 * Base Area
Total Surface Area = 537.68 + 2 * 50.24
Total Surface Area = 537.68 + 100.48
Total Surface Area = 638.16 square feet
Therefore, the surface area of the water tank is 638.16 square feet.