Question

if the radius is 5 and the height is 13 Find the surface area of the cylinder. Use the approximation of 3.14 for pi.

Answer 1

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

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

where \( r \) is the radius and \( h \) is the height of the cylinder.

Given:
- Radius \( r = 5 \)
- Height \( h = 13 \)
- Approximation for \( \pi = 3.14 \)

Plugging the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times (13 + 5)
\]

Calculating the expression step by step:

1. Calculate \( 13 + 5 = 18 \).
2. Now, calculate \( 2 \times 3.14 \times 5 = 31.4 \).
3. Finally, calculate \( 31.4 \times 18 = 565.2 \).

Thus, the surface area of the cylinder is:

\[
\text{Surface Area} \approx 565.2 \text{ square units}.
\]