Question

What is the total surface area of the cylinder from Part A? (Radius is 2.5 meters and height is 7 meters).Use 3.14 for pi. Show your work.

Answer 1

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

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

where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

Given:
- \( r = 2.5 \) meters,
- \( h = 7 \) meters.

Now, substitute the values into the formula:

1. First, calculate \( h + r \):

\[
h + r = 7 + 2.5 = 9.5 \text{ meters}
\]

2. Now, calculate the total surface area:

\[
A = 2 \times 3.14 \times 2.5 \times 9.5
\]

3. Calculate the product step-by-step:

Calculate \( 2 \times 3.14 \):

\[
2 \times 3.14 = 6.28
\]

Then, calculate \( 6.28 \times 2.5 \):

\[
6.28 \times 2.5 = 15.7
\]

Now, calculate \( 15.7 \times 9.5 \):

\[
15.7 \times 9.5 = 149.15
\]

Thus, the total surface area of the cylinder is:

\[
A \approx 149.15 \text{ square meters}
\]

So, the total surface area of the cylinder is approximately **149.15 square meters**.