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
The lateral side of the cylinder can be calculated using the formula for lateral surface area: A = 2πrh, where r is the radius and h is the height.
In this case, the diameter is 5 inches so the radius is half of that, which is 5/2 = 2.5 inches.
Now we can plug in the values:
A = 2 * 3.14 * 2.5 * 7.5
A = 2 * 3.14 * 18.75
A = 37.5 * 3.14
A = 117.8
Therefore, the area of the lateral side of the cylindrical can is 117.8 square inches. Rounded to the nearest tenth, the answer is 117.8 square inches.
So the answer is:
117.8 square inches