Question

Find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm use the approbation of 3.14 for pi

Answer 1

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

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

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

Given:
- \( r = 4 \, \text{cm} \)
- \( h = 2 \, \text{cm} \)

Now, substitute the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 4 \, \text{cm} \times (2 \, \text{cm} + 4 \, \text{cm})
\]

Calculating \( h + r \):

\[
h + r = 2 \, \text{cm} + 4 \, \text{cm} = 6 \, \text{cm}
\]

Now substitute that back into the surface area formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 4 \, \text{cm} \times 6 \, \text{cm}
\]

Now perform the multiplication:

1. Calculate \( 2 \times 3.14 = 6.28 \).
2. Then calculate \( 6.28 \times 4 = 25.12 \).
3. Finally, multiply by \( 6 \):

\[
25.12 \times 6 = 150.72
\]

Thus, the surface area of the cylinder is:

\[
\text{Surface Area} = 150.72 \, \text{cm}^2
\]

So, the surface area of the cylinder is **150.72 cm²**.