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.)

Question

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.)
the cylindrical can is 5 inches, and 7.5 inches
A. 15.7 square inches
B. 37.5 square inches
C. 117.8 square inches
D. 147.2 square inches

GPT 3.5 · Answer

To find the lateral surface area of a cylinder, you will use the formula: Lateral Surface Area = height x circumference of base.

First, we need to find the circumference of the base:
Circumference = π x diameter
Circumference = 3.14 x 5
Circumference ≈ 15.7 inches

Now, we can calculate the lateral surface area:
Lateral Surface Area = 7.5 x 15.7
Lateral Surface Area ≈ 117.8 square inches

Therefore, the answer is C. 117.8 square inches.