Determine the area of the lateral face of the cylinder below. Round your answer to the nearest whole number. Use 3.14 for π. 10in wide 3in length
To find the lateral surface area of a cylinder, we use the formula:
Lateral Surface Area = 2πrh
Where:
r = radius of the base of the cylinder
h = height of the cylinder
Given:
r = 5in (half of the width)
h = 3in
Substitute the values into the formula:
Lateral Surface Area = 2 * 3.14 * 5 * 3
Lateral Surface Area = 2 * 3.14 * 15
Lateral Surface Area = 2 * 47.1
Lateral Surface Area = 94.2
Rounding to the nearest whole number, the area of the lateral face of the cylinder is approximately 94 square inches.