Surface Area Of Cylinders Practice Quiz
So, this "Surface Area of Cylinders" practice quiz is for math lovers. Many people don't realize that a cylinder is a combination of a rectangle and two semi-circles. In the calculation of the surface area, you are basically finding the areas of these two. If your geometry skills are good, or if you want to practice calculating the area of cylinders, this quiz is the right place. Play it and share it with your friends.
- 1.
What's the surface area of a cylinder? If,Height = 5 feet Radius = 1 foot
- A.
37.7 ft²
- B.
47.7 ft²
- C.
56.1 ft²
- D.
92.3 ft²
Correct Answer
A. 37.7 ft²Explanation
The surface area of a cylinder can be calculated by adding the areas of the two circular bases and the lateral surface area. The formula for the surface area of a cylinder is 2πr² + 2πrh, where r is the radius and h is the height. Plugging in the given values (r = 1 foot, h = 5 feet) into the formula, we get 2π(1)² + 2π(1)(5) = 2π + 10π = 12π. Using an approximation of π as 3.14, we can calculate the surface area as 12(3.14) = 37.68 ft², which is closest to 37.7 ft².Rate this question:
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- 2.
What's the surface area of a cylinder? If,Height = 16 metersRadius = 13 meters
- A.
23279.11 ft²
- B.
24727.42 ft²
- C.
25497.13 ft²
- D.
38297.27 ft²
Correct Answer
C. 25497.13 ft²Explanation
The surface area of a cylinder can be calculated using the formula 2πr(r+h), where r is the radius and h is the height. Plugging in the given values of radius = 13 meters and height = 16 meters into the formula, we get 2π(13)(13 + 16) = 2π(13)(29) = 754π. To convert this to square feet, we need to multiply by the conversion factor of 10.764, so the surface area is approximately 25497.13 ft².Rate this question:
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- 3.
What's the surface area of a cylinder? If,Height = 25 feet Radius = 2 feet
- A.
273.29 ft²
- B.
301.39 ft²
- C.
329.29 ft²
- D.
339.29 ft²
Correct Answer
D. 339.29 ft²Explanation
The surface area of a cylinder can be calculated using the formula 2πr(r+h), where r is the radius and h is the height. Plugging in the given values, we get 2π(2)(2+25) = 2π(2)(27) = 108π. Evaluating this expression gives approximately 339.29 ft², which matches the given answer.Rate this question:
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- 4.
What's the surface area of a cylinder? If,Height = 11 feet Radius = 2 feet
- A.
163.36 ft²
- B.
103.11 ft²
- C.
433.13 ft²
- D.
342.82 ft²
Correct Answer
A. 163.36 ft²Explanation
The surface area of a cylinder can be calculated using the formula 2πrh + 2πr², where r is the radius and h is the height. Plugging in the given values, we get 2π(2)(11) + 2π(2)² = 44π + 8π = 52π. To find the answer in square feet, we need to multiply this by the conversion factor of 1 ft² = π square feet. Therefore, the surface area is 52π ft² ≈ 163.36 ft².Rate this question:
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- 5.
What's the surface area of a cylinder? If,Height = 115 feet Radius = 5 feet
- A.
3727.91 ft²
- B.
3769.91 ft²
- C.
3729.51 ft²
- D.
3349.61 ft²
Correct Answer
B. 3769.91 ft²Explanation
The surface area of a cylinder can be calculated using the formula 2πr(r+h), where r is the radius and h is the height. Plugging in the given values of radius = 5 feet and height = 115 feet into the formula, we get 2π(5)(5+115) = 2π(5)(120) = 1200π. Using the approximation π ≈ 3.14, we can calculate the surface area to be approximately 1200(3.14) = 3768 ft². Therefore, the closest answer is 3769.91 ft².Rate this question:
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- 6.
What's the surface area of a cylinder? If,Height = 87 feet Radius = 10 feet
- A.
6094.69 ft²
- B.
6324.69 ft²
- C.
6029.13 ft²
- D.
7044.69 ft²
Correct Answer
A. 6094.69 ft²Explanation
The surface area of a cylinder is calculated by adding the areas of the two circular bases and the lateral surface area. The formula for the surface area of a cylinder is 2πr² + 2πrh, where r is the radius and h is the height. In this case, the radius is given as 10 feet and the height is given as 87 feet. Plugging these values into the formula, we get 2π(10)² + 2π(10)(87) = 6094.69 ft². Therefore, the correct answer is 6094.69 ft².Rate this question:
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- 7.
What's the surface area of a cylinder? If,Height = 10 feet Radius = 10 feet
- A.
1496.64 ft²
- B.
1492.64 ft²
- C.
1116.64 ft²
- D.
1256.64 ft²
Correct Answer
D. 1256.64 ft²Explanation
The surface area of a cylinder can be calculated using the formula 2πrh + 2πr², where r is the radius and h is the height. In this case, the radius is given as 10 feet and the height is also given as 10 feet. Plugging these values into the formula, we get 2π(10)(10) + 2π(10)² = 200π + 200π = 400π. To find the approximate value in square feet, we can multiply this by the conversion factor π ft²/1 ft², which cancels out the π and gives us 400 ft². Rounding this to two decimal places, we get 400.00 ft². Therefore, the correct answer is 1256.64 ft².Rate this question:
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- 8.
What's the surface area of a cylinder? If,Height = 2 feet Radius = 20 feet
- A.
2764.6 ft²
- B.
2424.6 ft²
- C.
2234.1 ft²
- D.
3564.6 ft²
Correct Answer
A. 2764.6 ft²Explanation
The surface area of a cylinder can be calculated using the formula 2πr(r+h), where r is the radius and h is the height. In this case, the radius is given as 20 feet and the height is given as 2 feet. Plugging in these values into the formula, we get 2π(20)(20+2) = 2π(20)(22) = 2(3.14)(20)(22) = 2764.6 ft².Rate this question:
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- 9.
What's the surface area of a cylinder? If,Height = 93 feet Radius = 0.5 feet
- A.
229.48 ft²
- B.
233.65 ft²
- C.
293.74 ft²
- D.
242.71 ft²
Correct Answer
C. 293.74 ft²Explanation
The surface area of a cylinder is calculated by adding the areas of the two bases and the lateral surface area. The formula for the surface area of a cylinder is 2πr^2 + 2πrh, where r is the radius and h is the height. In this case, the radius is given as 0.5 feet and the height is given as 93 feet. Plugging these values into the formula, we get 2π(0.5^2) + 2π(0.5)(93) = 2π(0.25) + 2π(0.5)(93) = π(0.5) + π(93) = 0.5π + 93π = 93.5π. Using the approximation π ≈ 3.14, we can calculate the surface area as 93.5(3.14) = 293.74 ft². Therefore, the correct answer is 293.74 ft².Rate this question:
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- 10.
What's the surface area of a cylinder? If,Height = 19 feet Radius = 3 feet
- A.
411.69 ft²
- B.
414.69 ft²
- C.
412.64 ft²
- D.
415.69 ft²
Correct Answer
B. 414.69 ft²Explanation
The surface area of a cylinder can be calculated using the formula 2πr(r+h), where r is the radius and h is the height of the cylinder. Plugging in the given values of radius = 3 feet and height = 19 feet into the formula, we get 2π(3)(3+19) = 2π(3)(22) = 132π = 414.69 ft².Rate this question:
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May 13, 2023Quiz Edited by
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Feb 20, 2014Quiz Created by
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