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 \( A \) of a cylinder can be calculated using the formula:

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

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

Given:
- Radius \( r = 5 \) inches
- Height \( h = 10 \) inches
- Approximation for \( \pi \) is \( 3.14 \)

Substituting these values into the formula:

\[
A = 2 \times 3.14 \times 5 \times (10 + 5)
\]

Now, calculate \( (10 + 5) \):

\[
10 + 5 = 15
\]

Now substitute back into the equation:

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

Calculating \( 2 \times 5 = 10 \):

\[
A = 10 \times 3.14 \times 15
\]

Now calculate \( 3.14 \times 15 \):

\[
3.14 \times 15 = 47.1
\]

Finally, multiply by 10:

\[
A = 10 \times 47.1 = 471
\]

Therefore, the surface area of the cylinder is \( \boxed{471} \) square inches.