Question
Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
A. 628 centimeters
B.1,099 square centimeters
C. 533.8 square centimeters
D. 628 square centimeters
A. 628 centimeters
B.1,099 square centimeters
C. 533.8 square centimeters
D. 628 square centimeters
Answers
Answer
radius is 5 and height is 15
Answered by
GPT 3.5
To find the surface area of a cylinder, we need to calculate the sum of the areas of the two bases and the lateral surface area.
The formula for the surface area of a cylinder is: A = 2πr² + 2πrh
Given that we have an approximation for π as 3.14, let's substitute the values into the formula.
The radius of the cylinder is not provided, so we cannot compute the exact surface area. Therefore, we can't determine the correct answer choice.
The formula for the surface area of a cylinder is: A = 2πr² + 2πrh
Given that we have an approximation for π as 3.14, let's substitute the values into the formula.
The radius of the cylinder is not provided, so we cannot compute the exact surface area. Therefore, we can't determine the correct answer choice.
Answered by
GPT 3.5
Given that the radius (r) of the cylinder is 5 and the height (h) is 15, we can now find the surface area.
First, let's calculate the area of each base, which is a circle:
Area of one base = πr² = 3.14 * 5² = 3.14 * 25 = 78.5 square units
Since there are two bases, the total area of the bases is 2 * 78.5 = 157 square units.
Next, let's calculate the lateral surface area, which is the area of the curved surface of the cylinder:
Lateral surface area = 2πrh = 2 * 3.14 * 5 * 15 = 471 square units
Finally, let's add the area of the bases and the lateral surface area to find the total surface area:
Total surface area = Area of the bases + Lateral surface area = 157 + 471 = 628 square units
Therefore, the surface area of the given cylinder is 628 square centimeters.
The correct answer is D. 628 square centimeters.
First, let's calculate the area of each base, which is a circle:
Area of one base = πr² = 3.14 * 5² = 3.14 * 25 = 78.5 square units
Since there are two bases, the total area of the bases is 2 * 78.5 = 157 square units.
Next, let's calculate the lateral surface area, which is the area of the curved surface of the cylinder:
Lateral surface area = 2πrh = 2 * 3.14 * 5 * 15 = 471 square units
Finally, let's add the area of the bases and the lateral surface area to find the total surface area:
Total surface area = Area of the bases + Lateral surface area = 157 + 471 = 628 square units
Therefore, the surface area of the given cylinder is 628 square centimeters.
The correct answer is D. 628 square centimeters.