Question

Diameter is 2
height is 3
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.

(1 point)
Responses

62.8
62.8

32.97
32.97

25.12
25.12

75.36

Answer 1

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

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.

Given:
- Diameter = 2, so the radius \( r = \frac{2}{2} = 1 \).
- Height \( h = 3 \).

Now, substituting the values into the formula:

\[
\text{Surface Area} = 2 \cdot 3.14 \cdot 1 \cdot (3 + 1)
\]
\[
= 2 \cdot 3.14 \cdot 1 \cdot 4
\]
\[
= 2 \cdot 3.14 \cdot 4
\]
\[
= 6.28 \cdot 4
\]
\[
= 25.12
\]

Thus, the surface area of the cylinder is \( 25.12 \).

So the correct response is **25.12**.