Question
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
Round your answer to the nearest tenth.
square centimeters
Answers
GPT 3.5
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.
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.