SOLUTION: I have done 7/10 of my homework. I will submit each one separately. The answers are randomized on the back, but it seems as if they aren't correct. #6. The total surface area of

Algebra ->  College  -> Linear Algebra -> SOLUTION: I have done 7/10 of my homework. I will submit each one separately. The answers are randomized on the back, but it seems as if they aren't correct. #6. The total surface area of      Log On


   

Question 643881: I have done 7/10 of my homework. I will submit each one separately.
The answers are randomized on the back, but it seems as if they aren't correct.
#6. The total surface area of a can is 188.4 in squared. If the radius of the can is 3 inches. what is the height of the can?
I tried, s=2 times pi times 3 times height plus 2 times pi times 3 ^2
Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

I have done 7/10 of my homework. I will submit each one separately.
The answers are randomized on the back, but it seems as if they aren't correct.
#6. The total surface area of a can is 188.4 in squared. If the radius of the can is 3 inches. what is the height of the can?
I tried, s=2 times pi times 3 times height plus 2 times pi times 3 ^2

You are correct!! S, or surface area of cylinder (can) = 2%2Api%2Ar%5E2+%2B+2%2Api%2Arh
This gives us:

S+=+2%2Api%2Ar%5E2+%2B+2%2Api%2Arh

188.4+=+2%2Api%2A3%5E2+%2B+2%2Api%2A3%2Ah

188.4+=+2%2Api%2A%289%29+%2B+6%2Api%2Ah

188.4+=+18%2Api+%2B+6%2Api%2Ah

188.4+-+18%2Api+=+6%2Api%2Ah

h+=+%28188.4+-+18%2Api%29%2F%286%2Api%29

h+=+6%2831.4+-+3%2Api%29%2F%286%2Api%29

h+=+cross%286%29%2831.4+-+3%2Api%29%2F%28cross%286%29%2Api%29

highlight_green%28h+=+%2831.4+-+3%2Api%29%2Fpi%29, or

h, or height of can = 6.99493 ≈ highlight_green%287%29 inches

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