Hey bot I need your help with some questions
Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.(1 point)
Responses
471 inches
471 inches
345.4 square inches
345.4 square inches
314 square inches
314 square inches
471 square inches
To find the surface area of a cylinder, we need to calculate the area of the two bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2(pi * r^2) + (2 * pi * r * h)
Given that the radius (r) is 5 inches and the height (h) is 10 inches, we can substitute these values into the formula:
Surface Area = 2(3.14 * 5^2) + (2 * 3.14 * 5 * 10)
Surface Area = 2(3.14 * 25) + (2 * 3.14 * 5 * 10)
Surface Area = 2(78.5) + (2 * 3.14 * 5 * 10)
Surface Area = 157 + (31.4 * 50)
Surface Area = 157 + 1570
Surface Area = 1727
So, the surface area of the given cylinder is 1727 square inches.
Please pick the correct answer from the options
The correct answer from the given options would be:
471 square inches
A cylinder is labeled with a height of 8 yards and a radius of 7 yards.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
(1 point)
Responses
252.77 yards
252.77 yards
329.7 square yards
329.7 square yards
252.77 square yards
252.77 square yards
577.76 square yards
To find the surface area of a cylinder, we can use the formula: Surface Area = 2(pi * r^2) + (2 * pi * r * h).
Given that the height (h) is 8 yards and the radius (r) is 7 yards, we can substitute these values into the formula:
Surface Area = 2(3.14 * 7^2) + (2 * 3.14 * 7 * 8)
Surface Area = 2(3.14 * 49) + (2 * 3.14 * 7 * 8)
Surface Area = 2(153.86) + (2 * 3.14 * 7 * 8)
Surface Area = 307.72 + 351.68
Surface Area = 659.4
So, the surface area of the given cylinder is approximately 659.4 square yards.
From the given options, the closest answer is:
329.7 square yards
A cylinder is labeled with a height of 3 yards and a radius of 2 yards.
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.
(1 point)
Responses
25.12
25.12
32.97
32.97
75.36
75.36
62.8
62.8
To find the surface area of a cylinder, we can use the formula: Surface Area = 2(pi * r^2) + (2 * pi * r * h).
Given that the height (h) is 3 yards and the radius (r) is 2 yards, we can substitute these values into the formula:
Surface Area = 2(3.14 * 2^2) + (2 * 3.14 * 2 * 3)
Surface Area = 2(3.14 * 4) + (2 * 3.14 * 2 * 3)
Surface Area = 2(12.56) + (2 * 3.14 * 2 * 3)
Surface Area = 25.12 + 37.68
Surface Area = 62.8
So, the surface area of the given cylinder is 62.8 square yards.
From the given options, the correct answer is:
62.8
A can of olives has a diameter of 6 inches and a height of 4 inches. How many square inches of paper will be needed for the label on the outside of the can? Use 3.14 for pi.(1 point)
Responses
376.8
376.8
150.72
150.72
131.88
131.88
75.36
To find the surface area of the cylinder that represents the paper needed for the label on the can, we can use the formula for the lateral surface area of a cylinder:
Lateral Surface Area = 2(pi * r * h)
Given that the diameter (d) is 6 inches, the radius (r) can be calculated as half of the diameter: r = d/2 = 6/2 = 3 inches.
Also, the height (h) is given as 4 inches.
Substituting these values into the formula:
Lateral Surface Area = 2(3.14 * 3 * 4)
Lateral Surface Area = 2(3.14 * 12)
Lateral Surface Area = 2 * 37.68
Lateral Surface Area = 75.36
Therefore, 75.36 square inches of paper will be needed for the label on the outside of the can.
From the given options, the correct answer is:
75.36