Question

Find the surface area of the cylinder. Use the approximation 3.14 for pi.
height is 8
diameter is 7

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 \( \pi \) can be approximated as 3.14.

Given:
- Height \( h = 8 \)
- Diameter = 7, so the radius \( r = \frac{7}{2} = 3.5 \)

Now, substitute the values into the formula:

1. Calculate \( r \) and \( h \):
- \( r = 3.5 \)
- \( h = 8 \)

2. Substitute into the surface area formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 3.5 \times (8 + 3.5)
\]

3. Calculate \( (8 + 3.5) \):

\[
8 + 3.5 = 11.5
\]

4. Now plug this back into the equation:

\[
\text{Surface Area} = 2 \times 3.14 \times 3.5 \times 11.5
\]

5. Calculate step by step:
- First, calculate \( 2 \times 3.14 = 6.28 \)
- Then, \( 6.28 \times 3.5 = 21.98 \)
- Finally, \( 21.98 \times 11.5 \)

\[
21.98 \times 11.5 = 253.77
\]

Thus, the surface area of the cylinder is approximately:

\[
\text{Surface Area} \approx 253.77
\]

So, the surface area of the cylinder is approximately **253.77 square units**.