Question

Width two yards
Length 3 yards

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



(1 point)

25 12

32.97

75.36

62.8

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 and \( h \) is the height.

Given:
- The width (diameter) of the cylinder is 2 yards, thus the radius \( r \) is half of that:
\[
r = \frac{2}{2} = 1 \text{ yard}
\]

- The length of the cylinder (height) is 3 yards, so \( h = 3 \text{ yards} \).

Now substituting into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 1 \times (3 + 1)
\]

Calculating:

\[
= 2 \times 3.14 \times 1 \times 4
\]
\[
= 2 \times 3.14 \times 4
\]
\[
= 6.28 \times 4 = 25.12
\]

So, the surface area of the cylinder is **25.12**.

Therefore, the correct answer is **25.12**.