Question

Calculate the surface area of the cylinder. Give both exact and approximate answers. Round the approximate answer to the nearest hundredth. Use π=3.14 . (1 point) Exact answer: π cm2 Approximate answer: cm2

Answer 1

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

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

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

However, since you have not provided the values for the radius \( r \) and the height \( h \), I'll demonstrate how to carry out the calculations assuming some example values. Let's assume the radius \( r = 3 \) cm and the height \( h = 5 \) cm.

### Step 1: Calculate the Exact Surface Area

Using the formula:

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

Substituting in \( r = 3 \) cm and \( h = 5 \) cm:

\[
\text{Surface Area} = 2\pi (3)(5 + 3) = 2\pi (3)(8) = 48\pi \, \text{cm}^2
\]

### Step 2: Calculate the Approximate Surface Area

Now substituting \( \pi = 3.14 \):

\[
\text{Approximate Surface Area} = 48 \times 3.14 = 150.72 \, \text{cm}^2
\]

### Final Answers
- Exact answer: \( 48\pi \, \text{cm}^2 \)
- Approximate answer: \( 150.72 \, \text{cm}^2 \)

If you have specific values for \( r \) and \( h \), please provide them, and I can calculate the surface area accordingly.