Joseph has a rain barrel in the shape of a cylinder with a height of 48 inches and a diameter of 24 inches. What is the surface area of the rain barrel? Use 3.14 for π and round to the nearest tenth.(1 point)
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr^2 + 2πrh
Where r is the radius of the base of the cylinder and h is the height of the cylinder.
First, we need to find the radius of the base of the cylinder:
radius = diameter / 2 = 24 / 2 = 12 inches
Now we can plug the values into the formula:
Surface Area = 2 * 3.14 * 12^2 + 2 * 3.14 * 12 * 48
Surface Area = 2 * 3.14 * 144 + 2 * 3.14 * 12 * 48
Surface Area = 904.32 + 903.168
Surface Area = 1807.488 square inches
Therefore, the surface area of the rain barrel is approximately 1807.5 square inches.