1.
What's the surface area of a cylinder? If,Height = 5 feet Radius = 1 foot
Correct Answer
A. 37.7 ft²
Explanation
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.
2.
What's the surface area of a cylinder? If,Height = 16 metersRadius = 13 meters
Correct Answer
C. 25497.13 ft²
Explanation
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.
3.
What's the surface area of a cylinder? If,Height = 25 feet Radius = 2 feet
Correct Answer
D. 339.29 ft²
Explanation
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.
4.
What's the surface area of a cylinder? If,Height = 11 feet Radius = 2 feet
Correct Answer
A. 163.36 ft²
Explanation
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.
5.
What's the surface area of a cylinder? If,Height = 115 feet Radius = 5 feet
Correct Answer
B. 3769.91 ft²
Explanation
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.
6.
What's the surface area of a cylinder? If,Height = 87 feet Radius = 10 feet
Correct Answer
A. 6094.69 ft²
Explanation
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.
7.
What's the surface area of a cylinder? If,Height = 10 feet Radius = 10 feet
Correct Answer
D. 1256.64 ft²
Explanation
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.
8.
What's the surface area of a cylinder? If,Height = 2 feet Radius = 20 feet
Correct Answer
A. 2764.6 ft²
Explanation
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.
9.
What's the surface area of a cylinder? If,Height = 93 feet Radius = 0.5 feet
Correct Answer
C. 293.74 ft²
Explanation
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.
10.
What's the surface area of a cylinder? If,Height = 19 feet Radius = 3 feet
Correct Answer
B. 414.69 ft²
Explanation
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.