Find the surface area of a cylinder with radius 15.8 ft and height 4.4 ft. Use a calculator. Round to the nearest tenth.
A. 1786.9 ft2
B. 1221.1 ft2
C. 3450.8 ft2
D. 2005.3 ft2

Hey there! I'm happy to help!

First, let's find the area of the two circles that make up the top and bottom of the cylinder. To find the area of a circle, you square the radius multiply it by pi (we will use 3.14)

15.8²=249.64

249.64×3.14=783.8696

Since there are two of these circles we multiply this by 2.

783.8696×2=1567.7392

Now, for the rectangle. To make a cylinder, you take a rectangle and wrap it around the top and bottom circles. One side of this rectangle is the height of the cylinder, and the other is the circumference of the circle (one side wraps all the way around the circle, which is the circumference).

The circumference is the diameter multiplied by 3.14 (pi). The diameter is twice the radius.

15.8×2=31.6

31.6×3.14=99.224

We multiply this by the height.

99.224×4.4=436.5856

Now, we add the areas of the circles and the rectangle.

1567.7392+436.5856=2004.3 (rounded to nearest tenth)

This is closest to D. 2005.3 ft². It is probably a bit off because I used 3.14 instead of actual pi.

Have a wonderful day! :D

c

step-by-step explanation:

c

the answer is b.)

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