Question

Fidn the surface area of a cylinder with a radius of 4 cm and a height of 2 cm use the aproximation of 3.14 as pi

Answer 1

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

\[
SA = 2\pi r(h + r)
\]

where:
- \( SA \) is the surface area,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14 in this case.

Given:
- Radius \( r = 4 \) cm
- Height \( h = 2 \) cm

Now we can substitute these values into the formula.

First, calculate \( h + r \):

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

Now substitute into the surface area formula:

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

Calculating this step by step:

1. Calculate \( 2 \times 3.14 = 6.28 \)

2. Multiply by the radius \( 6.28 \times 4 = 25.12 \)

3. Finally, multiply by \( 6 \):

\[
SA = 25.12 \times 6 = 150.72 \, \text{cm}^2
\]

Thus, the surface area of the cylinder is \( \text{SA} \approx 150.72 \, \text{cm}^2 \).