Question

Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi. (1 point)

Answer 1

The surface area \( S \) of a cylinder can be calculated using the formula:

\[
S = 2\pi r(h + r)
\]

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximated as 3.14.

Given:
- Radius \( r = 5 \) inches,
- Height \( h = 10 \) inches,
- \( \pi \approx 3.14 \).

First, we can find \( h + r \):

\[
h + r = 10 + 5 = 15
\]

Now, substitute the values into the surface area formula:

\[
S = 2 \times 3.14 \times 5 \times 15
\]

Calculating step by step:

1. Calculate \( 2 \times 3.14 = 6.28 \).
2. Calculate \( 5 \times 15 = 75 \).
3. Now multiply those results together:

\[
S = 6.28 \times 75 = 471
\]

Thus, the surface area of the cylinder is

\[
\boxed{471} \text{ square inches}.
\]