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) Responses 471 square inches 471 square inches 314 square inches 314 square inches 345.4 square inches 345.4 square inches 471 inches

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,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.

Given:
- \( r = 5 \) inches
- \( h = 10 \) inches

Now, plug in the values:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times (10 + 5)
\]

First, calculate \( (10 + 5) = 15 \):

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times 15
\]
\[
= 2 \times 3.14 \times 75
\]
\[
= 6.28 \times 75
\]
\[
= 471
\]

Thus, the surface area of the cylinder is **471 square inches**.