Question

Find the surface area of this cylinder.
Use the `\pi` button in your calculations and round to the nearest whole number.

Height is 40in
radius is 25in


Answer choices; 6,283
1210
16283
10210

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,
- \( h \) is the height.

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

Now, we can plug in the values:

1. Calculate the area of the two circular bases:

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

2. Calculate the area of the side (the lateral surface area):

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

3. Add these two areas together:

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

Now, we round this to the nearest whole number after calculating \( 3250\pi \):

Using \( \pi \approx 3.14 \):

\[
3250 \cdot 3.14 \approx 10295
\]

Now, rounding to the nearest whole number gives \( 10295 \).

Among the answer choices provided, the closest is **10210**.

Thus, the final answer is:

**10210**.