SOLUTION: What is x in the given surface area of a right cylinder? S=1000 cm2 S=2(3.14)r2+2(3.14)h2 h= x r= 8 ft

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Question 197466: What is x in the given surface area of a right cylinder?
S=1000 cm2
S=2(3.14)r2+2(3.14)h2
h= x
r= 8 ft

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is x in the given surface area of a right cylinder?
S=1000 cm2
S=2(3.14)r2+2(3.14)h2
h= x
r= 8 ft
-------------
S=2%283.14%29r%5E2%2B2%283.14%29h%5E2
1000=2%2A%283.14%29%2A8%5E2%2B2%2A%283.14%29%2Ah%5E2
1000%2F%282pi%29+=+64+%2B+h%5E2
h%5E2+=+%281000%2F%282pi%29%29+-+64
h%5E2+=+95.155
h = 9.755 cm
----------------- Using the eqn you gave.
The total surface area of a cylinder is 2 times the base, for top and bottom, + the cylindrical surface.
A+=+2%2Api%2Ar%5E2+%2B+2%2Api%2Ar%2Ah not h squared
1000+=+2%2Api%2Ar%2A%28r%2Bh%29
1000%2F%282%2Api%2Ar%29+=+r%2Bh
1000/50.2655 = 8+h
h+8 = 19.89
h = 27.89 cm