Question

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 π and round to the nearest tenth.(1 point) Responses 301.44 feet2 100.48 feet squared 477.3 feet2 477.3 feet squared 56.52 feet2 188.4 feet squared 60 feet2

Answer 1

To find the total surface area of a cylinder, you can use the formula:

\[
\text{Total Surface Area} = 2\pi r(h + r)
\]

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

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

Now substituting the values into the formula:

\[
\text{Total Surface Area} = 2 \times 3.14 \times 4 \times (15 + 4)
\]

Calculating \( (15 + 4) \):

\[
15 + 4 = 19
\]

Now substituting that back in:

\[
\text{Total Surface Area} = 2 \times 3.14 \times 4 \times 19
\]

Calculating \( 2 \times 3.14 = 6.28 \):

Now multiply by \( 4 \):

\[
6.28 \times 4 = 25.12
\]

Now multiply by \( 19 \):

\[
25.12 \times 19 = 477.3
\]

Thus, the total surface area of the cylinder is approximately \( 477.3 \) square feet.

So, the answer is:

**477.3 feet squared**