document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771099>Question 771099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a difficult time with this question, its been 10 years since needing to do any math. But recently decided to go back to school and upgrade. I am currently doing a \"practice test\" to refresh the memory prior to taking my math placement test. <BR>\n" );
document.write( "There is one question I am stuck on. A grain storage unit has the shape of a cylinder with a hemisphere on top. base is 7 M and height of the cylindrical part is 6 m. write an expression in terms of PI that could be used to find the volume of the grain storage unit. <BR>\n" );
document.write( "so simple one is cylinder PI*r2*h = 73.50M3*PI, on the answer key they have it written in improper fractions so 73.50m3 PI = 147/2 PI <BR>\n" );
document.write( "where i am stuck is the hemisphere. 2/3 PI r 3 <BR>\n" );
document.write( "so following the formula I get 28.58m3*PI now to put this into improper fraction like the previous equation is where I am stuck. I checked the answer key and whats written is 343/12*PI. I do not know how to get the 28.58m3 to match that fraction. The entire answer is (147/2*pi + 343/12*pi)m3 <BR>\n" );
document.write( "I just cannot convert the 28.58 into the 343/12 fraction. I know its something simple and i am missing it completely. But it has been 10 years since i have even had to think about math like this. hahha <BR>\n" );
document.write( "Thanks for your time! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #469940 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=469940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "First of all, you didn't specify whether 7 meters was the diameter or the radius of the base.  Given the answers you provided, it had to be the diameter, but in the future, you need to make sure that there are no pieces of given information that you leave out of the problem statement.\r<BR>\n" );
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document.write( "Now, your calculations are spot on, but since the answer key is in improper fractions, you should be working in fractions rather than decimals.  For the cylinder part, since the decimal value of the radius squared times the height ended in .5, which is 1/2, you need to multiply by 2 and use 2 as a denominator.  And 73.5 times 2 is indeed 147, so 73.5 is equal to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{147}{2}\">.\r<BR>\n" );
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document.write( "The hemisphere part is a little uglier, but if you do the radius cubed computation long hand, you get a clue at an intermediate step.\r<BR>\n" );
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document.write( "3.5 times 3.5 is 12.25.  Note that 0.25 is the same as 1/4.  Now, in order to cube the radius you have to multiply 12.25 by 3.5 -- you are putting another factor of 1/2 into the mix, so the final result, 42.875, is the result of multiplying something that has a 1/4 fraction in it times something that has a 1/2 fraction in it, so the .875 must be some number of 8ths.  And if you multiply 42.875 times 8 you get 343 (look a little familiar?), and you can say that 42.875 is equal to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{343}{8}\">.  But wait, you still have to multiply by that pesky <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{2}{3}\"> fraction, right?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{343}{8}\ \cdot\ \frac{2}{3}\ =\ \frac{343}{4}\ \cdot\ \frac{1}{3}\ =\ \frac{343}{12}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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