document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86389>Question 86389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ) The volume of a cylinder (think about the volume of a can) is given by V = &#960;r2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters. <BR>\n" );
document.write( "a) 	Write h as a function of r. Keep \"&#61552;\" in the function's equation.<BR>\n" );
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document.write( "b) What is the measurement of the height if the radius of the cylinder is 3 centimeters? Round your answer to the hundredth's place.<BR>\n" );
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document.write( "c) Graph this function.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62498 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%2F%28pi%2Ar%5E2%29+=+cross%28pi%2Ar%5E2%29%2Across%282%29h%2F%28cross%28pi%2Ar%5E2%29%29+ ALIGN=MIDDLE  ALT=\"V%2F%28pi%2Ar%5E2%29+=+cross%28pi%2Ar%5E2%29%2Across%282%29h%2F%28cross%28pi%2Ar%5E2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >To solve for h divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "So h equals<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=V%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"h=V%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since its a 121 cubic centimeter can h equals<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=121%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"h=121%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b)To find out the height if the radius is 3 cm, just plug in 3 for r and 121 for V of the 121 cubic centimeter can (this is given above)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=121%2F%28pi%2A3%5E2%29 ALIGN=MIDDLE  ALT=\"h=121%2F%28pi%2A3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Let r=3,V=121<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=121%2F%289%2Api%29 ALIGN=MIDDLE  ALT=\"h=121%2F%289%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=4.2795 ALIGN=MIDDLE  ALT=\"h=4.2795\"   DISABLED_style= \"max-width:90%; height:auto;\" >Approximately\r<BR>\n" );
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document.write( "So the height of the can is about 4.28 cm\r<BR>\n" );
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document.write( "c)<BR>\n" );
document.write( "To graph this function, let r be x and h be y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+20%2C+121%2F%283.14%2Ax%5E2%29+%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+20%2C+121%2F%283.14%2Ax%5E2%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=121%2F%28pi%2Ax%5E2%29 ALIGN=MIDDLE  ALT=\"y=121%2F%28pi%2Ax%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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