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