Which of the following is the correct formula for finding the surface area of a cylinder?(1 point)
Responses
SA = πr2
SA = πr2
SA = 2πrh
SA = 2πrh
SA = 2πr2+2πrh
SA = 2πr2+2πrh
SA = 2lw + 2lh + 2wh
SA = 2πr2+2πrh
Find the surface area of the cylinder net.
Surface Area = 2πr2+2πrh
Use π = 3.14
(1 point)
Responses
1318.8 in2
1318.8 in squared
659.4 in2
659.4 in squared
923.16 in2
923.16 in squared
2461.76 in2
To find the surface area of the cylinder, we need the radius (r) and height (h) of the cylinder.
Let's say r = 5 inches and h = 8 inches
Using the formula: Surface Area = 2 * π * r^2 + 2 * π * r * h
Substitute r = 5 and h = 8
Surface Area = 2 * 3.14 * 5^2 + 2 * 3.14 * 5 * 8
Surface Area = 2 * 3.14 * 25 + 2 * 3.14 * 40
Surface Area = 6.28 * 25 + 6.28 * 40
Surface Area = 157 + 251.2
Surface Area = 408.2 square inches
So, the correct answer is not provided in the choices, but the surface area of the cylinder would be 408.2 in².
Find the surface area. Use 3.14 for π. Round to the nearest whole number.
SA = 2πr2+2πrh
circle: 20 cm
rectangle: 20 cm
(1 point)
Responses
5024 cm2
5024 cm squared
1884 cm2
1884 cm squared
788,768 cm2
788,768 cm squared
628 cm2
Given:
Radius (r) = 20 cm
Height (h) = 20 cm
Using the formula:
Surface Area = 2πr^2 + 2πrh
Substitute the values:
Surface Area = 2 * 3.14 * 20^2 + 2 * 3.14 * 20 * 20
Surface Area = 2 * 3.14 * 400 + 2 * 3.14 * 400
Surface Area = 2512 + 2512
Surface Area = 5024 cm^2
Rounding to the nearest whole number:
Surface Area = 5024 cm^2
Therefore, the correct response is:
5024 cm2
A can of soup in the shape of a cylinder is 10 centimeters tall and has a radius of 3 centimeters. A label covers the entire can expect for the top and bottom.
What is the surface area of the label? Round your answer to the nearest tenth.
You can construct a net of this cylinder on your paper to help determine the area covered by just the label.
Surface Area of Cylinder: SA = 2πr2+2πrh
(1 point)
Responses
28.3 cm2
28.3 cm squared
56.5 cm2
56.5 cm squared
188.4 cm2
188.4 cm squared
244.9 cm2
Given:
Radius (r) = 3 cm
Height (h) = 10 cm
Using the formula for the surface area of a cylinder:
Surface Area = 2πr^2 + 2πrh
Substitute the values:
Surface Area = 2 * 3.14 * 3^2 + 2 * 3.14 * 3 * 10
Surface Area = 2 * 3.14 * 9 + 2 * 3.14 * 30
Surface Area = 56.52 + 188.4
Surface Area = 244.92 cm^2
Rounding to the nearest tenth:
Surface Area ≈ 244.9 cm^2
Therefore, the surface area of the label is 244.9 cm^2.