Question

Height is 3 yards width is 2 yards. Find the surface area of the cylinder. Use the approximation of 3.14 for pi. (1 point) Responses 62.8 62.8 75.36 75.36 25.12 25.12 32.97

Answer 1

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

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

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

From the problem:
- The width of the cylinder is given as 2 yards, which means the diameter of the cylinder is 2 yards. Therefore, the radius \( r \) is half of that:
\[
r = \frac{2}{2} = 1 \text{ yard}
\]

- The height \( h \) is given as 3 yards.

Now we can plug in the values into the surface area formula.

1. Calculate \( 2\pi r^2 \):
\[
2\pi r^2 = 2 \times 3.14 \times (1)^2 = 2 \times 3.14 \times 1 = 6.28
\]

2. Calculate \( 2\pi rh \):
\[
2\pi rh = 2 \times 3.14 \times 1 \times 3 = 2 \times 3.14 \times 3 = 18.84
\]

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

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