Question

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 The width is 2 yards and the height is 3 yards

Answer 1

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

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

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

Given:
- The width of the cylinder is 2 yards, so the radius \( r \) is half of the width:
\[
r = \frac{2}{2} = 1 \text{ yard}
\]
- The height \( h \) is 3 yards.

Now, plug the values into the formula using \( \pi \approx 3.14 \):

1. Calculate the area of the two circular bases:
\[
2\pi r^2 = 2 \times 3.14 \times (1)^2 = 2 \times 3.14 \times 1 = 6.28 \text{ square yards}
\]

2. Calculate the lateral surface area:
\[
2\pi rh = 2 \times 3.14 \times (1) \times (3) = 2 \times 3.14 \times 3 = 18.84 \text{ square yards}
\]

3. Add both areas to find the total surface area:
\[
\text{Surface Area} = 6.28 + 18.84 = 25.12 \text{ square yards}
\]

Therefore, the surface area of the cylinder is **25.12 square yards**.