The surface area of the right circular cylinder is the sum of the curved surface area of the two attached circles and the surface area of the rectangle.
The curved surface area of a circle is 2πr*h, where r is the radius and h is the height.
For the circle attached to the top left:
Curved surface area = 2 * 3.14 * 8 * 4 = 200.96 square inches
For the circle attached to the bottom right:
Curved surface area = 2 * 3.14 * 8 * 4 = 200.96 square inches
The surface area of the rectangle is length * width.
Rectangle surface area = 4 * 4 = 16 square inches
Therefore, the total surface area of the net diagram of the right circular cylinder is:
200.96 + 200.96 + 16 = 417.92 square inches.
Use the image to answer the question.An illustration shows a horizontal rectangle of height 4 inches with a circle of radius 8 inches attached to its top left and a circle of radius 8 inches attached to its bottom right.Find the surface area of the net diagram of the right circular cylinder. Use 3.14 for π .(1 p
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wrong
I apologize for the mistake in my previous response. Let's correct the calculation.
The net diagram of the right circular cylinder consists of two circles and one rectangle.
The surface area of a circle is πr^2, and since we have two circles with a radius of 8 inches each, the combined surface area of both circles is:
2 * π * 8^2 = 2 * π * 64 = 128π square inches.
The surface area of the rectangle is given by the formula 2πrh, where h is the height (4 inches) and r is the radius (8 inches for the circles).
Rectangle surface area = 2 * π * 8 * 4 = 64π square inches.
Therefore, the total surface area of the net diagram of the right circular cylinder is:
128π + 64π = 192π square inches.
Using approximately 3.14 for π, we have:
192π ≈ 192 * 3.14 ≈ 602.88 square inches.
So, the correct surface area of the net diagram of the right circular cylinder is approximately 602.88 square inches.
The net diagram of the right circular cylinder consists of two circles and one rectangle.
The surface area of a circle is πr^2, and since we have two circles with a radius of 8 inches each, the combined surface area of both circles is:
2 * π * 8^2 = 2 * π * 64 = 128π square inches.
The surface area of the rectangle is given by the formula 2πrh, where h is the height (4 inches) and r is the radius (8 inches for the circles).
Rectangle surface area = 2 * π * 8 * 4 = 64π square inches.
Therefore, the total surface area of the net diagram of the right circular cylinder is:
128π + 64π = 192π square inches.
Using approximately 3.14 for π, we have:
192π ≈ 192 * 3.14 ≈ 602.88 square inches.
So, the correct surface area of the net diagram of the right circular cylinder is approximately 602.88 square inches.
Use the image to answer the question.An illustration shows a horizontal rectangle of height 9 inches with a circle of radius 10 inches attached to its top left and a circle of radius 10 inches attached to its bottom right.Find the surface area of the net diagram of the right circular cylinder. Use 3.14 for π .(1 point)
To find the surface area of the net diagram of the right circular cylinder shown in the illustration, we need to calculate the combined area of the two circles and the area of the rectangle.
1. Calculate the area of each circle:
Area of one circle = πr^2, where r is the radius.
Area of one circle = π(10)^2
= π * 100
= 100π square inches
Since there are two circles attached:
Combined area of two circles = 2 * 100π
= 200π square inches
2. Calculate the area of the rectangle:
Area of rectangle = base * height
= 9 * 10
= 90 square inches
3. Total surface area of the net diagram of the right circular cylinder:
Total surface area = Combined area of two circles + Area of rectangle
= 200π + 90
≈ 200(3.14) + 90
≈ 628 + 90
≈ 718 square inches
Therefore, the surface area of the net diagram of the right circular cylinder is approximately 718 square inches.
1. Calculate the area of each circle:
Area of one circle = πr^2, where r is the radius.
Area of one circle = π(10)^2
= π * 100
= 100π square inches
Since there are two circles attached:
Combined area of two circles = 2 * 100π
= 200π square inches
2. Calculate the area of the rectangle:
Area of rectangle = base * height
= 9 * 10
= 90 square inches
3. Total surface area of the net diagram of the right circular cylinder:
Total surface area = Combined area of two circles + Area of rectangle
= 200π + 90
≈ 200(3.14) + 90
≈ 628 + 90
≈ 718 square inches
Therefore, the surface area of the net diagram of the right circular cylinder is approximately 718 square inches.
Use the image to answer the question.An illustration shows a horizontal rectangle of height 9 inches with a circle of radius 10 inches attached to its top left and a circle of radius 10 inches attached to its bottom right.Find the surface area of the net diagram of the right circular cylinder. Use 3.14 for π
To find the surface area of the net diagram of the right circular cylinder shown in the illustration, we need to calculate the combined area of the two circles and the area of the rectangle.
1. Calculate the area of each circle:
Area of one circle = πr^2, where r is the radius.
Area of one circle = π(10)^2
= π * 100
= 100π square inches
Since there are two circles attached:
Combined area of two circles = 2 * 100π
= 200π square inches
2. Calculate the area of the rectangle:
Area of rectangle = base * height
= 9 * 10
= 90 square inches
3. Total surface area of the net diagram of the right circular cylinder:
Total surface area = Combined area of two circles + Area of rectangle
= 200π + 90
= 200(3.14) + 90
= 628 + 90
= 718 square inches
Therefore, the surface area of the net diagram of the right circular cylinder is 718 square inches.
1. Calculate the area of each circle:
Area of one circle = πr^2, where r is the radius.
Area of one circle = π(10)^2
= π * 100
= 100π square inches
Since there are two circles attached:
Combined area of two circles = 2 * 100π
= 200π square inches
2. Calculate the area of the rectangle:
Area of rectangle = base * height
= 9 * 10
= 90 square inches
3. Total surface area of the net diagram of the right circular cylinder:
Total surface area = Combined area of two circles + Area of rectangle
= 200π + 90
= 200(3.14) + 90
= 628 + 90
= 718 square inches
Therefore, the surface area of the net diagram of the right circular cylinder is 718 square inches.
Use the image to answer the question.An illustration shows a rectangle of unknown height with a circle of radius 3 feet attached to its top left and a circle of radius 3 feet attached to its bottom right.If the surface area of the net diagram of the right circular cylinder is 395.64 feet2 , find the height of the net diagram. Use 3.14 for π
To find the height of the net diagram of the right circular cylinder, we can break down the surface area calculation into the areas of the two circles attached and the rectangle, and then solve for the height.
Let the height of the rectangle be h feet.
1. Calculate the area of each circle:
The area of one circle = πr^2, where r is the radius (3 feet).
Area of one circle = 3.14 * (3)^2 = 3.14 * 9 = 28.26 square feet
Since there are two circles attached:
Combined area of two circles = 2 * 28.26 = 56.52 square feet
2. Calculate the area of the rectangle:
The area of the rectangle = base * height
Area of the rectangle = 3 * h square feet
3. Write and solve the equation for the total surface area:
Total surface area = Combined area of two circles + Area of rectangle
395.64 = 56.52 + 3h
395.64 = 56.52 + 3h
395.64 - 56.52 = 3h
339.12 = 3h
h = 339.12 / 3
h ≈ 113.04 feet
Therefore, the height of the net diagram of the right circular cylinder is approximately 113.04 feet.
Let the height of the rectangle be h feet.
1. Calculate the area of each circle:
The area of one circle = πr^2, where r is the radius (3 feet).
Area of one circle = 3.14 * (3)^2 = 3.14 * 9 = 28.26 square feet
Since there are two circles attached:
Combined area of two circles = 2 * 28.26 = 56.52 square feet
2. Calculate the area of the rectangle:
The area of the rectangle = base * height
Area of the rectangle = 3 * h square feet
3. Write and solve the equation for the total surface area:
Total surface area = Combined area of two circles + Area of rectangle
395.64 = 56.52 + 3h
395.64 = 56.52 + 3h
395.64 - 56.52 = 3h
339.12 = 3h
h = 339.12 / 3
h ≈ 113.04 feet
Therefore, the height of the net diagram of the right circular cylinder is approximately 113.04 feet.
That's wrong.
I apologize for the mistake in my previous response. Let's correct the calculation to find the correct height of the net diagram of the right circular cylinder.
Let the height of the rectangle be h feet.
1. Calculate the area of each circle:
Area of one circle = πr^2, where r is the radius (3 feet).
Area of one circle = 3.14 * (3)^2 = 3.14 * 9 = 28.26 square feet
Since there are two circles attached:
Combined area of two circles = 2 * 28.26 = 56.52 square feet
2. Calculate the area of the rectangle:
The area of the rectangle = base * height
Area of the rectangle = 3h square feet
3. Write and solve the equation for the total surface area:
Total surface area = Combined area of two circles + Area of rectangle
395.64 = 56.52 + 3h
395.64 - 56.52 = 3h
339.12 = 3h
h = 339.12 / 3
h = 113.04 feet
Therefore, the correct height of the net diagram of the right circular cylinder is 113.04 feet.
Let the height of the rectangle be h feet.
1. Calculate the area of each circle:
Area of one circle = πr^2, where r is the radius (3 feet).
Area of one circle = 3.14 * (3)^2 = 3.14 * 9 = 28.26 square feet
Since there are two circles attached:
Combined area of two circles = 2 * 28.26 = 56.52 square feet
2. Calculate the area of the rectangle:
The area of the rectangle = base * height
Area of the rectangle = 3h square feet
3. Write and solve the equation for the total surface area:
Total surface area = Combined area of two circles + Area of rectangle
395.64 = 56.52 + 3h
395.64 - 56.52 = 3h
339.12 = 3h
h = 339.12 / 3
h = 113.04 feet
Therefore, the correct height of the net diagram of the right circular cylinder is 113.04 feet.