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 i and round to the nearest tenth. (1 point)
• 301.44 feet?
• 60 feet?
O 56.52 feet
• 477.3 feet?

Answer 1

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

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

where \( r \) is the radius, \( h \) is the height, and \( \pi \) (approximated as 3.14 for this problem) is a constant.

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

Now we can substitute these values into the formula:

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

First, calculate \( h + r \):

\[
h + r = 15 + 4 = 19
\]

Now substitute this back into the surface area formula:

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

Calculate the multiplication step by step:

1. Calculate \( 2 \times 3.14 = 6.28 \)
2. Calculate \( 6.28 \times 4 = 25.12 \)
3. Calculate \( 25.12 \times 19 \):

\[
25.12 \times 19 = 477.28
\]

Now round to the nearest tenth:

\[
477.28 \approx 477.3
\]

Thus, the total surface area of the cylinder is approximately **477.3 feet**. Therefore, the correct answer is:
- **477.3 feet**.