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
2,198 square inches
2,198 square inches
471 square inches
471 square inches
1,177.5 square inches
1,177.5 square inches
785 square inches
7 answers
The correct answer is 785 square inches.
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
197.82 square centimeters
197.82 square centimeters
452.16 square centimeters
452.16 square centimeters
339.12 square centimeters
339.12 square centimeters
1,356.48 square centimeters
Responses
197.82 square centimeters
197.82 square centimeters
452.16 square centimeters
452.16 square centimeters
339.12 square centimeters
339.12 square centimeters
1,356.48 square centimeters
To calculate the surface area of a cone, you need to find the lateral surface area and add it to the base area. The lateral surface area of a cone is given by the formula A = π * r * l, where r is the radius and l is the slant height.
In this case, the radius is 6 centimeters and the slant height is 18 centimeters.
Using the formula, the lateral surface area would be A = 3.14 * 6 * 18, which equals 339.12 square centimeters.
The base area of a cone is given by the formula A = π * r^2. In this case, the radius is 6 centimeters.
Using the formula, the base area would be A = 3.14 * 6^2, which equals 113.04 square centimeters.
Now, you can add the lateral surface area and the base area to find the total surface area.
Total surface area = lateral surface area + base area
Total surface area = 339.12 + 113.04
Total surface area = 452.16 square centimeters
Therefore, the correct answer is 452.16 square centimeters.
In this case, the radius is 6 centimeters and the slant height is 18 centimeters.
Using the formula, the lateral surface area would be A = 3.14 * 6 * 18, which equals 339.12 square centimeters.
The base area of a cone is given by the formula A = π * r^2. In this case, the radius is 6 centimeters.
Using the formula, the base area would be A = 3.14 * 6^2, which equals 113.04 square centimeters.
Now, you can add the lateral surface area and the base area to find the total surface area.
Total surface area = lateral surface area + base area
Total surface area = 339.12 + 113.04
Total 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
226.08 square feet
226.08 square feet
113.04 square feet
113.04 square feet
653.12 square feet
653.12 square feet
326.56 square feet
Responses
226.08 square feet
226.08 square feet
113.04 square feet
113.04 square feet
653.12 square feet
653.12 square feet
326.56 square feet
To find the surface area of the hourglass sculpture, we need to calculate the lateral surface area of each cone and add them together.
First, let's find the radius of the cone. The diameter is given as 8 feet, so the radius would be half of that, which is 4 feet.
Using the formula A = π * r * l, where r is the radius and l is the slant height, we can find the lateral surface area of each cone.
For the first cone:
Radius = 4 feet
Slant height = 5 feet
Lateral surface area = π * 4 * 5 = 62.8 square feet
For the second cone:
Radius = 4 feet
Slant height = 5 feet
Lateral surface area = π * 4 * 5 = 62.8 square feet
Now, we can add the lateral surface areas of the two cones to find the total surface area.
Total surface area = lateral surface area of first cone + lateral surface area of second cone
Total surface area = 62.8 + 62.8 = 125.6 square feet
Therefore, the correct answer is 125.6 square feet.
First, let's find the radius of the cone. The diameter is given as 8 feet, so the radius would be half of that, which is 4 feet.
Using the formula A = π * r * l, where r is the radius and l is the slant height, we can find the lateral surface area of each cone.
For the first cone:
Radius = 4 feet
Slant height = 5 feet
Lateral surface area = π * 4 * 5 = 62.8 square feet
For the second cone:
Radius = 4 feet
Slant height = 5 feet
Lateral surface area = π * 4 * 5 = 62.8 square feet
Now, we can add the lateral surface areas of the two cones to find the total surface area.
Total surface area = lateral surface area of first cone + lateral surface area of second cone
Total surface area = 62.8 + 62.8 = 125.6 square feet
Therefore, the correct answer is 125.6 square feet.
what
I apologize for the confusion. Let's start over and calculate the correct surface area of the hourglass sculpture.
The hourglass sculpture is made up of two cones meeting at the top point.
Given information:
Diameter = 8 feet
Radius (r) = diameter/2 = 8/2 = 4 feet
Slant height (l) = 5 feet
To find the lateral surface area of each cone, we can use the formula A = π*r*l.
For each cone:
Lateral surface area = 3.14 * 4 * 5 = 62.8 square feet
Since there are two cones in the hourglass sculpture, the total lateral surface area is:
Total lateral surface area = 2 * 62.8 = 125.6 square feet
Therefore, the correct answer is 125.6 square feet.
The hourglass sculpture is made up of two cones meeting at the top point.
Given information:
Diameter = 8 feet
Radius (r) = diameter/2 = 8/2 = 4 feet
Slant height (l) = 5 feet
To find the lateral surface area of each cone, we can use the formula A = π*r*l.
For each cone:
Lateral surface area = 3.14 * 4 * 5 = 62.8 square feet
Since there are two cones in the hourglass sculpture, the total lateral surface area is:
Total lateral surface area = 2 * 62.8 = 125.6 square feet
Therefore, the correct answer is 125.6 square feet.
1 answer