What is the surface area, in square inches, of a cone with a radius of 10 inches and a slant height of 15 inches? Use 3.14 for pi.(1 point)
Responses
785 square inches
785 square inches
2,198 square inches
2,198 square inches
1,177.5 square inches
1,177.5 square inches
471 square inches
All of the bots answers are correct <3
We can now use the values provided to calculate the surface area of the cone.
Surface Area = πr(r + l)
Surface Area = 3.14 * 12.5(12.5 + 22)
Surface Area = 3.14 * 12.5 * 34.5
Surface Area = 1,354.125 square centimeters
Therefore, the correct answer is:
1,354.125 square centimeters
The surface area of a cone can be calculated using the formula:
Surface Area = πr(r + l)
where r is the radius of the cone and l is the slant height.
Using this formula, we can substitute the given values:
Surface Area = 3.14 * 10(10 + 15)
Surface Area = 3.14 * 10 * 25
Surface Area = 785 square inches
Therefore, the correct answer is:
785 square inches
What is the surface area of the cone? Use 3.14 for pi.
(1 point)
Responses
1,354.125 square centimeters
1,354.125 square centimeters
863.5 square centimeters
863.5 square centimeters
3,689.5 square centimeters
3,689.5 square centimeters
2,383.26 square centimeters
2,383.26 square centimeters
To calculate the surface area of a cone, we use the formula:
Surface Area = πr(r + l)
where r is the radius of the cone and l is the slant height.
Since you have not provided the values for the radius (r) and slant height (l), I am unable to calculate the specific surface area of the cone.
Please provide the values for r and l so that I can calculate the correct surface area.
Radius = 12.5
Slant = 22
A spyglass in the shape of a cone has a slant height of 18 centimeters and a radius of 6 centimeters. What is the surface area of the spyglass? Use 3.14 for pi.(1 point)
Responses
339.12 square centimeters
339.12 square centimeters
452.16 square centimeters
452.16 square centimeters
197.82 square centimeters
197.82 square centimeters
1,356.48 square centimeters
1,356.48 square centimeters
To find the surface area of the cone, we can use the formula:
Surface Area = πr(r + l)
where r is the radius of the cone, and l is the slant height.
Substituting the given values:
Surface Area = 3.14 * 6(6 + 18)
Surface Area = 3.14 * 6 * 24
Surface Area = 452.16 square centimeters
Therefore, the correct answer is:
452.16 square centimeters
A designer is creating a modern art sculpture of an hourglass out of steel, to be on display at the town library. The hourglass is made by two cones meeting at the top point. The designer wants to know how many square feet of steel is needed for the outside of the sculpture, if the slant height of each cone is 5 feet and the diameter is 8 feet. Use 3.14 for pi.(1 point)
Responses
326.56 square feet
326.56 square feet
113.04 square feet
113.04 square feet
653.12 square feet
653.12 square feet
226.08 square feet
To find the surface area of the hourglass sculpture, we need to calculate the surface area of each cone separately and then add them together.
First, calculate the radius of each cone by halving the diameter:
Radius = 8 ft / 2 = 4 ft
Now, we can use the formula for the surface area of a cone:
Surface Area = πr(r + l)
For each cone, the radius (r) is 4 ft and the slant height (l) is 5 ft.
Surface Area of one cone = 3.14 * 4(4 + 5)
Surface Area of one cone = 3.14 * 4 * 9
Surface Area of one cone = 113.04 square feet
Since there are two cones in the hourglass sculpture, we need to double the surface area:
Total Surface Area = 2 * 113.04
Total Surface Area = 226.08 square feet
Therefore, the correct answer is:
226.08 square feet