Question

find the surface area of the cylinder below. 28 yd and 23 yd. Use the symbol for pi

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 of the base,
- \( h \) is the height of the cylinder.

From your description, it seems that 28 yd might be the height (h) and 23 yd might be the diameter. First, we need to find the radius, which is half the diameter:

\[
r = \frac{\text{Diameter}}{2} = \frac{23 \text{ yd}}{2} = 11.5 \text{ yd}
\]

Now, we can use the values \( r = 11.5 \) yd and \( h = 28 \) yd in the surface area formula:

1. Calculate \( 2\pi r^2 \):
\[
2\pi r^2 = 2\pi (11.5)^2 = 2\pi (132.25) = 264.5\pi
\]

2. Calculate \( 2\pi rh \):
\[
2\pi rh = 2\pi (11.5)(28) = 2\pi (322) = 644\pi
\]

3. Add the two results together to get the total surface area:
\[
\text{Surface Area} = 264.5\pi + 644\pi = 908.5\pi
\]

Therefore, the surface area of the cylinder is:

\[
\text{Surface Area} = 908.5\pi \text{ square yards}
\]