A cylinder has a height of 15.5 centimeters and a diameter of 6 centimeters. What is the lateral surface area of the cylinder?
Round your answer to the nearest tenth.
square centimeters
The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height.
The radius of the cylinder is half of the diameter, so r = 6cm/2 = 3cm.
Substituting the values into the formula, we get:
Lateral surface area = 2π(3cm)(15.5cm)
= 93cm * π
Using the value of π to be approximately 3.14159 and rounding to the nearest tenth, we get:
Lateral surface area ≈ 93cm * 3.14159 ≈ 291.899cm
Therefore, the lateral surface area of the cylinder is approximately 291.9 square centimeters.