Question

Find the surface area of the cylinder. Use the approximation 3.14 for pi.(1 point)Responses diameter of 7 height of 8

Answer 1

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

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

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

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

Now we can plug these values into the formula:

1. Calculate \( r + h \):
\[
r + h = 3.5 + 8 = 11.5
\]

2. Calculate the surface area:
\[
\text{Surface Area} = 2 \times 3.14 \times 3.5 \times 11.5
\]

3. Perform the calculations step-by-step:
- First, calculate \( 2 \times 3.14 = 6.28 \).
- Then, calculate \( 6.28 \times 3.5 \):
\[
6.28 \times 3.5 = 21.98
\]
- Now, multiply that by \( 11.5 \):
\[
21.98 \times 11.5 = 253.27
\]

So, the surface area of the cylinder is approximately **253.27 square units**.