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.)
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.