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.)
(1 point)
Responses
15.7 square inches
15.7 square inches
37.5 square inches
37.5 square inches
117.8 square inches
117.8 square inches
147.2 square inches
147.2 square inches
Skip to navigation
To find the lateral surface area of a cylinder, you use the formula: Lateral Surface Area = 2πrh, where r is the radius of the base and h is the height of the cylinder.
Given that the diameter of the base of the cylinder is 5 inches, the radius (r) is half of the diameter, so r = 2.5 inches.
Plugging in the values for r and h into the formula, we get:
Lateral Surface Area = 2 * 3.14 * 2.5 * 7.5
Lateral Surface Area = 2 * 3.14 * 18.75
Lateral Surface Area = 37.5 * 3.14
Lateral Surface Area = 117.75 square inches
Therefore, the area of the lateral side of the cylinder is 117.8 square inches (rounded to the nearest tenth).