Question

Matt bought an outdoor wall light fixture. The fixture has semicircular ends at the top and bottom as shown. The side of the fixture that faces the wall is open.
What is the exterior surface area of the light fixture?

44π in2

56 in2

72π in2

105π in2

Answer 1

@magbak

Answer 2

@FilthyMcNasty

Answer 3

So it looks like r = 4 for the circle of the semicircular top & bottom. Circumference of a full circle: pi x 2 x r or 8pi. For half a circle: 4pi. Now you multiply this by the height (14) to get the area of the surface.

Answer 4

I got 56pi.

Answer 5

Now, I'm confused.

Answer 6

So you arrived at one of the answer choices. Which parts are you confused about?

Answer 7

But there's no pi at the end of 56.

Answer 8

I see. Then that's clearly a typo in the question, unless I saw the problem in a completely wrong way. As long as you can show the steps as mentioned above, you're good to go.

Answer 9

Okay, thank you.(: