Find the surface area of this cylinder.

Question

Use the `\pi` button in your calculations and round to the nearest whole number.

Height is 40in
radius is 25in

Answer 1

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

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

where:

• $r$ is the radius,
• $h$ is the height.

Given:

• Height ($h$) = 40 inches
• Radius ($r$) = 25 inches

Now, plug in the values into the formula:

$$\text{Surface Area}=2\pi (25)(40+25)$$

First, calculate $h+r$:

$$h+r=40+25=65$$

Now substitute back into the surface area formula:

$$\text{Surface Area}=2\pi (25)(65)$$

Multiply the numbers:

$$25\times 65=1625$$

Now multiply by $2\pi$:

$$\text{Surface Area}=2\pi (1625)=3250\pi$$

Now, use a calculator to find $3250\pi$ and round to the nearest whole number. Using $\pi \approx 3.14$:

$$3250\times 3.14\approx 10285$$

Thus, the surface area of the cylinder is approximately:

$$\boxed{{\displaystyle 10285}}\text{ square inches}$$