(Desmos Calculator: Ctrl + select to open in a new tab)
(7th Grade Math Formula Chart: Ctrl + select to open in a new tab)
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 PI.
A. 15.7 square inches
B. 37.5 square inches
C. 117.8 square inches
D. 147.2 square inches
To find the lateral area of a cylinder, we use the formula: Lateral Area = height x circumference of the base.
First, we need to find the circumference of the base (which is a circle) using the formula: circumference = π x diameter.
Given that the diameter of the base is 5 inches, the circumference is: π x 5 = 3.14 x 5 = 15.7 inches.
Now, we can find the lateral area by multiplying the height (7.5 inches) by the circumference of the base (15.7 inches): 7.5 x 15.7 = 117.75 square inches.
Rounded to the nearest tenth, the lateral area of the cylinder is 117.8 square inches.
Therefore, the correct answer is option C: 117.8 square inches.