Question

A cylinder has a height of 15 feet and a radius of 4 feet. Solve for
the total surface area of the cylinder. Use 3.14 for and round to
the nearest tenth. (1 point)
π
60 feet
2
301.44 feet
2
56.52 feet
2
477.3 feet

Answer 1

To find the total surface area \( A \) of a cylinder, you can use the formula:

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

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

In this case:

- Radius \( r = 4 \) feet
- Height \( h = 15 \) feet
- Using \( \pi \approx 3.14 \)

Now substituting the values into the formula:

\[
A = 2 \times 3.14 \times 4 \times (15 + 4)
\]

First, calculate \( 15 + 4 \):

\[
15 + 4 = 19
\]

Now substituting back:

\[
A = 2 \times 3.14 \times 4 \times 19
\]

Calculating \( 2 \times 3.14 \):

\[
2 \times 3.14 = 6.28
\]

Next, calculate \( 6.28 \times 4 \):

\[
6.28 \times 4 = 25.12
\]

Now multiply by \( 19 \):

\[
25.12 \times 19 = 476.28
\]

Rounding this to the nearest tenth gives:

\[
A \approx 476.3 \text{ square feet}
\]

Since the options given are slightly different, we select the closest match from the choices provided. However, it looks like there isn't a direct match in your options, but if we round it to the nearest number among the options, we can consider \( 477.3 \text{ square feet} \) as the correct answer if we consider rounding.

So, the correct answer is:

**477.3 feet²**