document.write( "Question 1069067: A cylindrical mettalic pipe is 21cm long.The difference between outside and inside surface area is 44 cm². If the pipe is made up of 110 cm of metal. Find the inner and outer diameter of pipe. \n" ); document.write( "

Algebra.Com's Answer #684347 by josmiceli(19441) $\"\"$ $\"About$

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The formula for outside surface area is
\n" ); document.write( " $\"+2%2Api%2Ar%2Ah+=+2%2Api%2Ar%2A21+\"$
\n" ); document.write( " $\"+2%2Api%2Ar%2Ah+=+42%2Api%2Ar%5B1%5D+\"$
\n" ); document.write( "The inside surface area is:
\n" ); document.write( " $\"+2%2Api%2Ar%5B2%5D%2A21+=+42%2Api%2Ar%5B2%5D+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "The difference of the surface areas is equal to
\n" ); document.write( "(1) $\"+42%2Api%2A%28+r%5B1%5D+-+r%5B2%5D+%29+=+44+\"$ cm2
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "The volume of the metal is
\n" ); document.write( "[ vol of outside cylinder ] minus [ vol of the hollow part ]
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\n" ); document.write( "You are given that:
\n" ); document.write( "(2) $\"+21%2Api%2A%28+r%5B1%5D%5E2+-+r%5B2%5D%5E2+%29+=+110+\"$ cm3
\n" ); document.write( "------------------------------------------
\n" ); document.write( "(1) $\"+r%5B1%5D+-+r%5B2%5D+=+44+%2F+%28+42%2Api+%29+\"$
\n" ); document.write( "(1) $\"+r%5B1%5D+-+r%5B2%5D+=+.3335+\"$
\n" ); document.write( "(1) $\"+r%5B1%5D+=+r%5B2%5D+%2B+.3335+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+r%5B1%5D%5E2+-+r%5B2%5D%5E2+=+110+%2F+%28+21%2Api+%29+\"$
\n" ); document.write( "(2) $\"++r%5B1%5D%5E2+-+r%5B2%5D%5E2+=+1.6673+\"$
\n" ); document.write( "(2) $\"++%28+r%5B2%5D+%2B+.3335+%29%5E2+-+r%5B2%5D%5E2+=+1.6673+\"$
\n" ); document.write( "(2) $\"+r%5B2%5D%5E2+%2B+.667r%5B2%5D+%2B+.1112+-+r%5B2%5D%5E2+=+1.6673+\"$
\n" ); document.write( "(2) $\"++.667r%5B2%5D+%2B+.1112+=+1.6673+\"$
\n" ); document.write( "(2) $\"+.667r%5B2%5D+=+1.5561+\"$
\n" ); document.write( "(2) $\"+r%5B2%5D+=+2.333+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+r%5B1%5D+=+r%5B2%5D+%2B+.3335+\"$
\n" ); document.write( "(1) $\"+r%5B1%5D+=+2.333+%2B+.3335+\"$
\n" ); document.write( "(1) $\"+r%5B1%5D+=+2.6665+\"$
\n" ); document.write( "------------------------------------------
\n" ); document.write( "Outside diameter =
\n" ); document.write( " $\"+2%2Ar%5B1%5D+=+2%2A2.6665+\"$
\n" ); document.write( " $\"+2%2Ar%5B1%5D+=+5.333+\"$ cm
\n" ); document.write( "Inside diameter =
\n" ); document.write( " $\"+2%2Ar%5B2%5D+=+2%2A2.333+\"$
\n" ); document.write( " $\"+2%2Ar%5B2%5D+=+4.666+\"$ cm
\n" ); document.write( "--------------------------
\n" ); document.write( "check answers:
\n" ); document.write( "(1) $\"+42%2Api%2A%28+r%5B1%5D+-+r%5B2%5D+%29+=+44+\"$
\n" ); document.write( "(1) $\"+42%2Api%2A%28+2.6665+-+2.333+%29+=+44+\"$
\n" ); document.write( "(1) $\"+42%2Api%2A.3335+=+44+\"$
\n" ); document.write( "(1) $\"+131.947%2A.3335+=+44+\"$
\n" ); document.write( "(1) $\"+44.004+=+44+\"$
\n" ); document.write( "close enough
\n" ); document.write( "(2) $\"+21%2Api%2A%28+r%5B1%5D%5E2+-+r%5B2%5D%5E2+%29+=+110+\"$
\n" ); document.write( "(2) $\"+21%2Api%2A%28+2.6665%5E2+-+2.333%5E2+%29+=+110+\"$
\n" ); document.write( "(2) $\"+21%2Api%2A%28+7.1102+-+5.4429+%29+=+110+\"$
\n" ); document.write( "(2) $\"+21%2Api%2A1.6673+=+110+\"$
\n" ); document.write( "(2) $\"+65.9734%2A1.6673+=+110+\"$
\n" ); document.write( "(2) $\"+109.998+=+110+\"$
\n" ); document.write( "close enough\r
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