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 1

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

\[
\text{Surface Area} = 2\pi r(h + r)
\]

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

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

Now, plug in the values into the formula:

\[
\text{Surface Area} = 2\pi (25)(40 + 25)
\]

First, calculate \( h + r \):

\[
h + r = 40 + 25 = 65
\]

Now substitute back into the surface area formula:

\[
\text{Surface Area} = 2\pi (25)(65)
\]

Multiply the numbers:

\[
25 \times 65 = 1625
\]

Now multiply by \( 2\pi \):

\[
\text{Surface Area} = 2\pi (1625) = 3250\pi
\]

Now, use a calculator to find \( 3250\pi \) and round to the nearest whole number. Using \(\pi \approx 3.14\):

\[
3250 \times 3.14 \approx 10285
\]

Thus, the surface area of the cylinder is approximately:

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