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)
• 2,198 square inches
• 471 square inches
O 785 sqlmare inches
• 1,177.5 square inches
The surface area of a cone can be found using the formula: surface area = π * r * (r + l), where r is the radius and l is the slant height.
In this case, the radius is given as 10 inches and the slant height is given as 15 inches.
Substituting these values into the formula, we have surface area = 3.14 * 10 * (10 + 15).
This simplifies to surface area = 3.14 * 10 * 25 = 785 square inches.
Therefore, the correct answer is 785 square inches.
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To find the surface area of a cone, you can use the formula: surface area = π * r * (r + l), where r is the radius and l is the slant height.
Given that the diameter of the cone is 25 cm, the radius is half of the diameter, which is 25/2 = 12.5 cm.
The slant height is given as 22 cm.
Substituting these values into the formula, we have surface area = 3.14 * 12.5 * (12.5 + 22).
This simplifies to surface area = 3.14 * 12.5 * 34.5 = 1,354.125 square centimeters.
Therefore, the correct answer is 1,354.125 square centimeters.
The lateral surface area of a cone can be found using the formula: lateral surface area = π * r * l, where r is the radius and l is the slant height.
Given that the radius is 15 centimeters and the slant height is 20 centimeters:
Lateral surface area = 3.14 * 15 * 20 = 942 square centimeters.
Therefore, the correct answer is 942 square centimeters.
To find the surface area of the spyglass, we can use the formula: surface area = π * r * (r + l), where r is the radius and l is the slant height.
Given that the radius is 6 centimeters and the slant height is 18 centimeters:
Surface area = 3.14 * 6 * (6 + 18) = 3.14 * 6 * 24 = 452.16 square centimeters.
Therefore, the correct answer is 452.16 square centimeters.
To find the surface area of the hourglass sculpture, we need to calculate the surface area of each cone and then sum them.
First, we need to find the radius of each cone. The diameter is given as 8 feet, so the radius is half of that, which is 8/2 = 4 feet.
The slant height is given as 5 feet.
Using the formula for the surface area of a cone: surface area = π * r * (r + l), where r is the radius and l is the slant height, we can calculate the surface area of each cone.
Surface area of each cone = 3.14 * 4 * (4 + 5) = 3.14 * 4 * 9 = 113.04 square feet.
Since there are two cones in the hourglass sculpture, we need to double this value.
Total surface area = 2 * 113.04 = 226.08 square feet.
Therefore, the correct answer is 226.08 square feet.
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)
• 197.82 square centimeters
• 452.16 square centimeters
• 339.12 square centimeters
• 1,356.48 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)
• 226.08 square feet
• 113.04 square feet
• 653.12 square feet
• 326.56 square feet
A cone-shaped megaphone has a radius of 15 centimeters and a slant height of 20 centimeters. A megaphone has an open bottom.
What is the lateral surface area of the megaphone, in square centimeters? Use 3.14 for pi. (1 point)
• 109.9 square centimeters
• 1,884 square centimeters
• 1,648.5 square centimeters
942 square centimeters