Question

Find the surface area of this cylinder.



Use the pi
π button in your calculations and round to the nearest whole number.

Here are the measurements radius 25in hight 40 in

Answer 1

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

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

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

Given:
- Radius \( r = 25 \) inches
- Height \( h = 40 \) inches

Now we can calculate the surface area step-by-step.

1. Calculate the area of the two bases (top and bottom):

\[
2\pi r^2 = 2\pi (25^2) = 2\pi (625) = 1250\pi
\]

2. Calculate the lateral surface area:

\[
2\pi rh = 2\pi (25)(40) = 2000\pi
\]

3. Add both areas together:

\[
\text{Surface Area} = 1250\pi + 2000\pi = 3250\pi
\]

4. Now, substitute \(\pi\) with approximately \(3.14\) or use a calculator with the π button and compute:

\[
\text{Surface Area} \approx 3250 \times 3.14 \approx 10285
\]

Rounding to the nearest whole number, the surface area of the cylinder is approximately:

\[
\boxed{10285} \text{ square inches}
\]