Use the image to answer the question.

A cone shows a radius of 6 and hypotenuse or side as 11.

What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary.

(1 point)/

11 answers

To find the surface area of the cone, we need to calculate the lateral surface area and the base area, and then sum them together.

The lateral surface area of a cone is given by the formula: π * r * s, where r is the radius and s is the slant height (the hypotenuse in this case).

Given that the radius (r) is 6 and the slant height (s) is 11, we can plug in these values into the formula:

Lateral surface area = π * 6 * 11 ≈ 205.9

The base area of a cone is given by the formula: π * r^2.

Given that the radius (r) is 6, we can plug in this value into the formula:

Base area = π * 6^2 = π * 36 ≈ 113.1

Now, we can sum the lateral surface area and the base area to find the total surface area of the cone:

Total surface area ≈ 205.9 + 113.1 = 319

Therefore, the surface area of the cone is approximately 319 square units.
Wrong.
Apologies for the mistake. Let's correct it.

In the given image, the radius (r) of the cone is 6 and the hypotenuse or side (s) is 11.

To find the surface area of the cone, we need to calculate the lateral surface area and the base area, and then sum them together.

The lateral surface area of a cone is given by the formula: π * r * s, where r is the radius and s is the slant height.

Given that the radius (r) is 6 and the slant height (s) is 11, we can plug in these values into the formula:

Lateral surface area = π * 6 * 11 ≈ 205.9

The base area of a cone is given by the formula: π * r^2.

Given that the radius (r) is 6, we can plug in this value into the formula:

Base area = π * 6^2 = π * 36 ≈ 113.1

Now, we can sum the lateral surface area and the base area to find the total surface area of the cone:

Total surface area ≈ 205.9 + 113.1 ≈ 319

Therefore, the surface area of the cone is approximately 319 square units.
that is wrong
Apologies for the previous incorrect response. Let's correct it.

To find the surface area of a cone, we need to calculate the lateral surface area and the base area, and then sum them together.

The lateral surface area of a cone is given by the formula: π * r * s, where r is the radius and s is the slant height.

Given that the radius (r) is 6 and the slant height (s) is 11, we can plug in these values into the formula:

Lateral surface area = π * 6 * 11

Therefore, the lateral surface area is approximately 205.9 units.

The base area of a cone is given by the formula: π * r^2.

Given that the radius (r) is 6, we can plug in this value into the formula:

Base area = π * 6^2

Therefore, the base area is approximately 113.1 units.

Now, we can sum the lateral surface area and the base area to find the total surface area of the cone:

Total surface area = Lateral surface area + Base area
Total surface area ≈ 205.9 + 113.1

Therefore, the surface area of the cone is approximately 319 units.
Use the image to answer the question.
A cone shows a radius of 6 and hypotenuse or side as 11.

What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary.

(1 point)
Apologies for the previous incorrect responses. Let's solve the problem correctly.

In the given image, the given information is: radius (r) = 6 and hypotenuse or slant height (s) = 11.

To find the surface area of the cone, we need to calculate the lateral surface area and the base area, and then sum them together.

The lateral surface area of a cone is given by the formula: π * r * s.

Plugging in the values, we have:
Lateral surface area = 3.14 * 6 * 11

Calculating this, we get:
Lateral surface area ≈ 205.92

The base area of a cone is given by the formula: π * r^2.

Plugging in the value of the radius, we have:
Base area = 3.14 * 6^2

Calculating this, we get:
Base area ≈ 113.04

Now, we can sum the lateral surface area and the base area to find the total surface area of the cone:
Total surface area = Lateral surface area + Base area
Total surface area ≈ 205.92 + 113.04

Calculating this, we get:
Total surface area ≈ 318.96

Rounding to the nearest tenth, the surface area of the cone is approximately 319.0 square units.
What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary.
To find the surface area of the cone, we need to calculate the lateral surface area and the base area, and then sum them together.

The lateral surface area of a cone is given by the formula: π * r * s, where r is the radius and s is the slant height.

Given that the radius (r) is 6 and the slant height (s) is 11, we can plug in these values into the formula:

Lateral surface area = 3.14 * 6 * 11 = 207.48

The base area of a cone is given by the formula: π * r^2.

Given that the radius (r) is 6, we can plug in this value into the formula:

Base area = 3.14 * 6^2 = 3.14 * 36 = 113.04

Now, we can sum the lateral surface area and the base area to find the total surface area of the cone:

Total surface area = Lateral surface area + Base area
Total surface area = 207.48 + 113.04 = 320.52

Rounding to the nearest tenth, the surface area of the cone is approximately 320.5 square units.
WRONG
Apologies for the mistake. Let's correct it.

To find the surface area of a cone, we need to calculate the lateral surface area and the base area, and then sum them together.

The lateral surface area of a cone is given by the formula: π * r * s, where r is the radius and s is the slant height.

Given that the radius (r) is 6 and the slant height (s) is 11, we can plug in these values into the formula:

Lateral surface area = 3.14 * 6 * 11 = 207.48

The base area of a cone is given by the formula: π * r^2.

Given that the radius (r) is 6, we can plug in this value into the formula:

Base area = 3.14 * 6^2 = 3.14 * 36 = 113.04

Now, we can sum the lateral surface area and the base area to find the total surface area of the cone:

Total surface area = Lateral surface area + Base area
Total surface area = 207.48 + 113.04 = 320.52

Rounding to the nearest tenth, the surface area of the cone is approximately 320.5 square units.
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