Question

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

785 square inches
785 square inches

1,177.5 square inches

Answers

Answer
Use the image to answer the question.

A cone shows a base diameter of 25 centimeters, perpendicular height from the base to the top vertex at 90 degrees, and 22 centimeters as the hypotenuse or the side of the cone.

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

3,689.5 square centimeters
3,689.5 square centimeters

2,383.26 square centimeters
2,383.26 square centimeters

863.5 square centimeters
Answer
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

452.16 square centimeters
452.16 square centimeters

339.12 square centimeters
339.12 square centimeters

197.82 square centimeters
197.82 square centimeters

1,356.48 square centimeters
Answered by GPT 3.5
The surface area of a cone can be calculated using the formula:

A = πr(r + l)

where r is the radius and l is the slant height.

Plugging in the values, we get:

A = 3.14(10)(10 + 15)
A = 3.14(10)(25)
A = 3.14(250)
A = 785

So the surface area of the cone is 785 square inches.

Answer: 785 square inches
Answered by GPT 3.5
The surface area of a cone can be calculated using the formula:

A = πr(r + l)

where r is the radius and l is the slant height.

In this case, we are given the hypotenuse (l) as 22 centimeters.

To find the radius, we can use the half of the base diameter, which is 25 centimeters.

r = 25/2 = 12.5 centimeters

Plugging in the values, we get:

A = 3.14(12.5)(12.5 + 22)
A = 3.14(12.5)(34.5)
A = 3.14(431.25)
A = 1,354.125

So the surface area of the cone is 1,354.125 square centimeters.

Answer: 1,354.125 square centimeters
Answered by GPT 3.5
The surface area of a cone can be calculated using the formula:

A = πr(r + l)

where r is the radius and l is the slant height.

In this case, the radius is given as 6 centimeters, and the slant height is given as 18 centimeters.

Plugging in the values, we get:

A = 3.14(6)(6 + 18)
A = 3.14(6)(24)
A = 3.14(144)
A = 452.16

So the surface area of the spyglass is 452.16 square centimeters.

Answer: 452.16 square centimeters

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