Use the image to answer the question.

Question

A cone is marked with a height of 15 centimeters and a diameter of 16 centimeters, both shown as perpendicular dotted lines. The slant height is 17 centimeters.

What is the height of the right circular cone?

(1 point)
Responses

17 cm
17 cm

16 cm
16 cm

15 cm
15 cm

8 cm
8 cm
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Answer 1

The height of the right circular cone is given as 15 centimeters. Therefore, the correct response is:

15 cm

Answer 2

Use the image to answer the question.

An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.

Find the surface area of the cylinder below. Use the approximation 3.14 for pi.

(1 point)
Responses

628 square centimeters
628 square centimeters

628 centimeters
628 centimeters

1,099 square centimeters
1,099 square centimeters

533.8 square centimeters
533.8 square centimeters
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Answer 3

To find the surface area of the oblique cylinder, we can use the formula for the surface area of a cylinder, which is given by:

\[ \text{Surface Area} = 2\pi r(h + r) \]

Where:

• \( r \) is the radius,
• \( h \) is the height,
• \( \pi \) is approximately 3.14.

Given:

• Radius \( r = 5 \) cm,
• Height \( h = 15 \) cm,
• \( \pi \approx 3.14 \).

Substituting these values into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times (15 + 5) \] \[ = 2 \times 3.14 \times 5 \times 20 \] \[ = 2 \times 3.14 \times 100 \] \[ = 628 \text{ square centimeters} \]

Thus, the surface area of the cylinder is 628 square centimeters.

Answer 4

Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet. Adrian wants to paint all around the outside of the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface are of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth.(1 point)
ft2

Answer 5

To find the surface area of a cylinder, we can use the following formula:

\[ \text{Surface Area} = 2\pi r(h + r) \]

Where:

• \( r \) = radius,
• \( h \) = height,
• \( \pi \) is approximately 3.14.

Given:

• Radius \( r = 4 \) feet,
• Height \( h = 3 \) feet.

Substituting these values into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times (3 + 4) \] \[ = 2 \times 3.14 \times 4 \times 7 \] \[ = 2 \times 3.14 \times 28 \] \[ = 2 \times 87.92 \] \[ = 175.84 \text{ square feet} \]

Now rounding to the nearest tenth:

\[ \text{Surface Area} \approx 175.8 \text{ square feet} \]

Thus, the surface area of the cylinder is 175.8 ft².

Answer 6

Eli is making a model castle out of clay. One of the roof peaks is in the shape of a cone with a diameter of 14 inches and a slant height of 20 inches. What is the surface area of the cone peak? Round your answer to the nearest hundredth. Use 3.14 for pi.(1 point)
square inches

Answer 7

To find the surface area of a cone, we can use the formula:

\[ \text{Surface Area} = \pi r l + \pi r^2 \]

Where:

• \( r \) is the radius of the base,
• \( l \) is the slant height,
• \( \pi \) is approximately 3.14.

Given:

• Diameter = 14 inches, so the radius \( r = \frac{14}{2} = 7 \) inches,
• Slant height \( l = 20 \) inches.

Now we can plug in these values into the formula:

1. Calculate the lateral surface area: \[ \text{Lateral Surface Area} = \pi r l = 3.14 \times 7 \times 20 \] \[ = 3.14 \times 140 = 439.6 , \text{square inches} \]

2. Calculate the area of the base: \[ \text{Base Area} = \pi r^2 = 3.14 \times 7^2 \] \[ = 3.14 \times 49 = 153.86 , \text{square inches} \]

3. Add both areas to find the total surface area: \[ \text{Total Surface Area} = \text{Lateral Surface Area} + \text{Base Area} \] \[ = 439.6 + 153.86 = 593.46 , \text{square inches} \]

Thus, the surface area of the cone peak is approximately 593.46 square inches.