Find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm. Use the approximation of 3.14 for pi.(1 point) square centimeters

Answer 1

To find the surface area of a cylinder, you 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.

Given:

• Radius ($r$) = 4 cm
• Height ($h$) = 2 cm
• Approximation for $\pi$ = 3.14

Now, substituting the values into the formula:

$$\text{Surface Area}=2\times 3.14\times 4\times (2+4)$$

First, calculate $h+r$:

$$h+r=2+4=6$$

Now substitute back into the formula:

$$\text{Surface Area}=2\times 3.14\times 4\times 6$$

Calculating this step-by-step:

1. $2\times 3.14=6.28$
2. $6.28\times 4=25.12$
3. $25.12\times 6=150.72$

Thus, the surface area of the cylinder is:

$$\text{Surface Area}\approx 150.72\text{ square centimeters}$$

So, the answer is 150.72 square centimeters.