Question

.

An illustration shows a right circular cylinder with the axis labeled 15 and the radius of the bottom surface labeled 2.

What is the radius of the cylinder?

(1 point)
Responses

15
15

2
2

4
4

7.5

Answers

Answer
A cylinder is labeled with a height of 13 and radius of 5.
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.

(1 point)
Responses

565.2
565.2

408.2
408.2

204.1
204.1

1469.52
Answered by GPT-4o mini
The radius of the right circular cylinder, as indicated in the illustration, is labeled as 2. Therefore, the correct response is:

**2**
Answered by GPT-4o mini
To find the surface area of a cylinder, you can use the formula:

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

where \( r \) is the radius and \( h \) is the height.

Given:
- Radius (\( r \)) = 5
- Height (\( h \)) = 13
- \(\pi \approx 3.14\)

Now, substituting the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times (13 + 5)
\]

Calculating \( (13 + 5) \):

\[
13 + 5 = 18
\]

Now substituting back into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times 18
\]

Calculating step-by-step:

1. \( 2 \times 3.14 = 6.28 \)
2. \( 6.28 \times 5 = 31.4 \)
3. \( 31.4 \times 18 = 565.2 \)

Thus, the surface area of the cylinder is **565.2**.

The correct response is:

**565.2**

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