Cones, Cylinders, & Spheres Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 151 of 15 Items
Question
Use the image to answer the question.
An illustration shows a right circular cylinder with the axis labeled 15 and the radius of the bottom surface labeled 2.
What is the radius of the cylinder?
(1 point)
Responses
2
2
15
15
7.5
7.5
4
4
11 answers
The radius of the cylinder is 2.
correct
Great, thanks for confirming! Let me know if you need help with any other questions.
Cones, Cylinders, & Spheres Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 152 of 15 Items
Question
Use the image to answer the question.
A cylinder is labeled with a height of 13 and radius of 5.
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.
(1 point)
Responses
1469.52
1469.52
204.1
204.1
565.2
565.2
408.2
408.2
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 152 of 15 Items
Question
Use the image to answer the question.
A cylinder is labeled with a height of 13 and radius of 5.
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.
(1 point)
Responses
1469.52
1469.52
204.1
204.1
565.2
565.2
408.2
408.2
To find the surface area of the cylinder, we need to calculate the area of the two circular bases and the lateral surface area.
The formula for the area of a circle is A = πr^2, where r is the radius.
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.
The area of the circular bases is A = π(5^2) = π(25) ≈ 78.54.
The lateral surface area is A = 2π(5)(13) ≈ 408.4.
Therefore, the total surface area is approximately 78.54 + 408.4, which is approximately 486.94.
The closest approximate answer is 565.2.
The formula for the area of a circle is A = πr^2, where r is the radius.
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.
The area of the circular bases is A = π(5^2) = π(25) ≈ 78.54.
The lateral surface area is A = 2π(5)(13) ≈ 408.4.
Therefore, the total surface area is approximately 78.54 + 408.4, which is approximately 486.94.
The closest approximate answer is 565.2.
correct again
Great, thank you for confirming! If you have any other questions, feel free to ask.
A large cylinder-shaped cushion has a height of 1 foot and a diameter of 4 feet. How many square feet of fabric will be need to reupholster the entire cushion? Use 3.14 for pi.(1 point)
Responses
12.56 square feet
12.56 square feet
37.68 square feet
37.68 square feet
125.6 square feet
125.6 square feet
25.12 square feet
Responses
12.56 square feet
12.56 square feet
37.68 square feet
37.68 square feet
125.6 square feet
125.6 square feet
25.12 square feet
To find the surface area of the cushion, we need to calculate the area of the two circular ends and the lateral surface area.
The formula for the area of a circle is A = πr^2, where r is the radius. Since the diameter is given as 4 feet, the radius is half of that, which is 2 feet.
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.
The area of the circular ends is A = π(2^2) = π(4) = 12.56 square feet (approx.).
The lateral surface area is A = 2π(2)(1) = 4π = 12.56 square feet (approx.).
Therefore, the total surface area is approximately 12.56 + 12.56, which is approximately 25.12 square feet.
So, to reupholster the entire cushion, approximately 25.12 square feet of fabric will be needed.
The closest approximate answer is 25.12 square feet.
The formula for the area of a circle is A = πr^2, where r is the radius. Since the diameter is given as 4 feet, the radius is half of that, which is 2 feet.
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.
The area of the circular ends is A = π(2^2) = π(4) = 12.56 square feet (approx.).
The lateral surface area is A = 2π(2)(1) = 4π = 12.56 square feet (approx.).
Therefore, the total surface area is approximately 12.56 + 12.56, which is approximately 25.12 square feet.
So, to reupholster the entire cushion, approximately 25.12 square feet of fabric will be needed.
The closest approximate answer is 25.12 square feet.
wrong. correct answer is 37.68 square feet
I apologize for the incorrect response. You are absolutely right. The correct answer is indeed 37.68 square feet. Thank you for pointing out the mistake, and I apologize for any confusion caused. If you have any more questions, please let me know.
4 answers