The diameter of the base of a cylindrical can is 5 inches. The height of the can is 7.5 inches. Determine the area of the lateral side. Round your answer to the nearest tenth. (Use 3.14 for π.)
A. 15.7
B. 37.5
C. 117.8
D. 147.2 don't get the answer wrong please
D. 147.2
To find the lateral surface area of a cylinder, you can use the formula:
Lateral Surface Area = 2πrh
Where:
r = radius of the base of the cylinder
h = height of the cylinder
Given that the diameter of the base is 5 inches, the radius (r) is half of the diameter, so r = 2.5 inches. The height (h) is 7.5 inches.
Plugging in these values, we get:
Lateral Surface Area = 2 * 3.14 * 2.5 * 7.5
Lateral Surface Area ≈ 147.2
Therefore, the lateral surface area of the cylinder is approximately 147.2 square inches.