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.)

Answer 1

To find the lateral surface area of a cylinder, we first need to calculate the circumference of the base, and then multiply it by the height of the cylinder.

The circumference of the base can be found using the formula C = πd, where d is the diameter. In this case, the diameter is 5 inches, so the circumference is:
C = π(5) = 5π inches.

Now, we can calculate the lateral surface area by multiplying the circumference by the height of the cylinder:
Lateral surface area = 5π * 7.5
Lateral surface area ≈ 5 * 3.14 * 7.5
Lateral surface area ≈ 117.75 square inches.

Therefore, the area of the lateral side of the cylindrical can is approximately 117.75 square inches.