Question
A cylinder has a diameter of 5 cm and a height of 6 cm. What is the lateral surface area rounded to the nearest tenth?
Answers
GPT 3.5
The lateral surface area of a cylinder is calculated using the formula:
Lateral Surface Area = 2 * π * r * h
Where r is the radius of the cylinder and h is the height of the cylinder.
Given that the diameter of the cylinder is 5 cm, the radius (r) is half of the diameter, so r = 2.5 cm.
Plugging in the values of r = 2.5 cm and h = 6 cm into the formula, we get:
Lateral Surface Area = 2 * π * 2.5 * 6
Lateral Surface Area = 30π cm^2
Lateral Surface Area ≈ 94.2 cm^2
Therefore, the lateral surface area of the cylinder is approximately 94.2 cm^2 rounded to the nearest tenth.
Lateral Surface Area = 2 * π * r * h
Where r is the radius of the cylinder and h is the height of the cylinder.
Given that the diameter of the cylinder is 5 cm, the radius (r) is half of the diameter, so r = 2.5 cm.
Plugging in the values of r = 2.5 cm and h = 6 cm into the formula, we get:
Lateral Surface Area = 2 * π * 2.5 * 6
Lateral Surface Area = 30π cm^2
Lateral Surface Area ≈ 94.2 cm^2
Therefore, the lateral surface area of the cylinder is approximately 94.2 cm^2 rounded to the nearest tenth.