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.
A. 1,177.5 square inches
B. 785 square inches
C. 471 square inches
D. 2,198 square inches
The surface area of a cone can be calculated using the formula:
SA = πr(r + l)
where r is the radius and l is the slant height.
Plugging in the given values:
SA = 3.14 * 10(10 + 15)
= 3.14 * 10(25)
= 3.14 * 250
= 785 square inches
Therefore, the surface area of the cone is 785 square inches.
The correct answer is B.
To calculate the surface area of a cone, we can use the formula:
SA = πr(r + l)
where r is the radius and l is the slant height.
Plugging in the given values:
SA = 3.14 * 6(6 + 18)
= 3.14 * 6(24)
= 3.14 * 144
= 452.16 square centimeters
Therefore, the surface area of the spyglass is 452.16 square centimeters.
The correct answer is not provided.
To find the surface area of the hourglass sculpture, we need to calculate the surface area of each cone and then add them together.
First, we need to find the radius of each cone. The diameter is given as 8 feet, so the radius would be half of that, which is 4 feet.
Next, we can use the formula for the surface area of a cone:
SA = πr(r + l)
where r is the radius and l is the slant height.
For each cone, plugging in the given values:
SA = 3.14 * 4(4 + 5)
= 3.14 * 4(9)
= 3.14 * 36
= 113.04 square feet
Since there are two cones in the hourglass sculpture, we need to multiply the surface area of one cone by 2:
Total surface area of the hourglass sculpture = 2 * 113.04
= 226.08 square feet
Therefore, the designer would need 226.08 square feet of steel for the outside of the sculpture.
The correct answer is not provided.
The lateral surface area of a cone can be calculated using the formula:
SA = πrl
where r is the radius and l is the slant height.
Plugging in the given values:
SA = 3.14 * 15 * 20
= 942 square centimeters
Therefore, the lateral surface area of the megaphone is 942 square centimeters.
The correct answer is A. 942 square centimeters.
What is the surface area of the cone? Slant height:22 Radius:25
A. 2,383.26 square centimeters
B. 863.5 square centimeters
C. 3,689.5 square centimeters
D. 1,354.125 square centimeters
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)
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)
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)
Question
A cone-shaped megaphone has a radius of 15 centimeters and a slant height of 20 centimeters. A megaphone has an open bottom.
A. 942 square centimeters
B. 109.9 square centimeters
C.1,884 square centimeters
D. 1,648.5 square centimeters
The lateral surface area of a cone can be calculated using the formula:
SA = πrl
where r is the radius and l is the slant height.
Plugging in the given values:
SA = 3.14 * 15 * 20
= 940 square centimeters
Therefore, the lateral surface area of the megaphone is 940 square centimeters.
The correct answer is not provided.