Question

what is the surface area of this cylinder use pi = 3.14 and round you're answer to the nearest hundredth the radius is 13mm and the height is 14mm

Answer 1

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

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

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

Given:
- Radius (\( r \)) = 13 mm
- Height (\( h \)) = 14 mm
- \( \pi \) = 3.14

First, calculate \( h + r \):

\[
h + r = 14 + 13 = 27 \text{ mm}
\]

Now plug in the values into the surface area formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 13 \times 27
\]

Calculating inside the parentheses first:

\[
\text{Surface Area} = 2 \times 3.14 \times 13 \times 27
\]

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

\[
\text{Surface Area} = 6.28 \times 13 \times 27
\]

Next, calculate \( 6.28 \times 13 \):

\[
6.28 \times 13 = 81.64
\]

Now continue with:

\[
\text{Surface Area} = 81.64 \times 27
\]

Calculating \( 81.64 \times 27 \):

\[
81.64 \times 27 = 2204.28
\]

Thus, rounding to the nearest hundredth, the surface area of the cylinder is:

\[
\text{Surface Area} \approx 2204.28 \text{ mm}^2
\]