Question

Find the surface area of the cylinder and round to the nearest tenth. (It is recommended that you use the # button on your calculator) (Note: Remember the radius is half of the diameter.) 2 ft. 2 ft. Surface Area ft2

Answer 1

To answer this question, we need to know the formula to find the surface area of a cylinder:

`SA=2\pi rh+2\pi r^2`

The first part of the formula corresponds to the lateral part of the cylinder. The other part represents the area of the two circles in the cylinder.

Then, we have:

r = D/2 ---> D = 2ft ---> r = 2ft /2 ---> r = 1ft.

h = 2ft

Now, we can apply the above formula:

`SA_{\text{cyl}}=2\cdot\pi\cdot1\cdot2+2\cdot\pi\cdot(1)^2=4\pi ft^2+2\pi ft^2=6\pi ft^2=18.8495559215ft^2`

If we round this area to the nearest tenth, we have that the area is equal to 18.8 sq. feet.