SOLUTION: Help me find the surface of this semi cylinder. The width is {{{ x }}} and the length is {{{ 2x + 3 }}}

Algebra ->  Surface-area -> SOLUTION: Help me find the surface of this semi cylinder. The width is {{{ x }}} and the length is {{{ 2x + 3 }}}       Log On


   

Question 1053511: Help me find the surface of this semi cylinder. The width is +x+ and the length is +2x+%2B+3+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Help me find the surface of this semi cylinder. The width is +x+ and the length is +2x+%2B+3+
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SA of a cylinder = 2pi%2Ar%2Ah for the lateral area.
Each end's area = pi%2Ar%5E2
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If the width is the diameter, r = x/2
h = 2x + 3
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If it's 1/2 of a cylinder cut on its axis:
LA = pi%2Ar%2Ah+=+pi%2A%28x%2F2%29%2A%282x%2B3%29
The ends are pi%2A%28x%2F2%29%5E2
The rectangle part is x*(2x+3)
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Add those.