document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461422>Question 461422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of the volume of a can of green beans with a diameter 8 centimeters and height of 12 centimeters. Include correct units with your solution. Use \"pi\" in place of the pi symbol. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316442 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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/cgi-bin/show-face.mpl?user=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of the volume of a can of green beans with a diameter 8 centimeters and height of 12 centimeters. Include correct units with your solution. Use \"pi\" in place of the pi symbol.<BR>\n" );
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document.write( "A can of green beans has the shape of a cylinder. We want to find the volume.<BR>\n" );
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document.write( "The formula for a cylinder is <BR>\n" );
document.write( "[volume] = [the area of the base] times [the height of the cylinder]. <BR>\n" );
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document.write( "Notice that the base of a cylinder is a circle. So our formula is <BR>\n" );
document.write( "[volume] = [the area of a circle] times [the height of the cylinder].<BR>\n" );
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document.write( "The area of a circle is [\"pi\"] times [the square of the radius]<BR>\n" );
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document.write( "Let's write the whole formula is symbols.<BR>\n" );
document.write( "V = volume of the cylinder<BR>\n" );
document.write( "r = radius of the circle <BR>\n" );
document.write( "h = height of the cylinder<BR>\n" );
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document.write( "So, the formula for the volume of a cylinder is<BR>\n" );
document.write( "V = \"pi\"*(r^2)*h<BR>\n" );
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document.write( "We are given the diameter of the can, but we need the radius. Recall that the radius of a circle is half the diameter, so the radius of our can is 8/2 = 4 centimeters.<BR>\n" );
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document.write( "Now we can substitute 4 for r and 12 for h to find the volume. Since volume is 3-dimensional, our answer will be in cubic centimeters.<BR>\n" );
document.write( "V = \"pi\"*(4^2)*12<BR>\n" );
document.write( "V = \"pi\"*16*12<BR>\n" );
document.write( "V = 192\"pi\" cubic centimeters<BR>\n" );
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document.write( "Since we are asked for an exact answer, we leave the answer in terms of \"pi:. <BR>\n" );
document.write( "It would look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=192pi ALIGN=MIDDLE  ALT=\"V=192pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps!<BR>\n" );
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document.write( "Ms. Figgy<BR>\n" );
document.write( "math-in-the-vortex<BR>\n" );
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