document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322506>Question 322506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that during a storm rain is falling at<BR>\n" );
document.write( "a rate of 1 inch per hour. The water coming from a circular<BR>\n" );
document.write( "roof with a radius of 20 feet is running down a downspout that can accommodate 400 gallons of water<BR>\n" );
document.write( "per hour. \r<BR>\n" );
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document.write( "(a) Determine the number of cubic inches of water<BR>\n" );
document.write( "falling on the roof in 1 hour.\r<BR>\n" );
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document.write( "(b) One gallon equals about 231 cubic inches. Write a<BR>\n" );
document.write( "formula for a function g that computes the gallons of<BR>\n" );
document.write( "water landing on the roof in x hours.\r<BR>\n" );
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document.write( "(c) How many gallons of water land on the roof during<BR>\n" );
document.write( "a 2.5-hour rain storm?\r<BR>\n" );
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document.write( "(d) Will one downspout be sufficient to handle this<BR>\n" );
document.write( "type of rainfall? How many downspouts should there<BR>\n" );
document.write( "be?\r<BR>\n" );
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document.write( "your help is well needed!\r<BR>\n" );
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document.write( "Cheers<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230882 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The roof radius is given in feet. Convert that to inches\r<BR>\n" );
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document.write( "20*12=240 inch radius. The area of the roof in square inches is then\r<BR>\n" );
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document.write( "pi*(240)^2=57600pi=180955.74 in^2/hour.\r<BR>\n" );
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document.write( "Since the rain falls at an inch an hour, we also have 57600Pi cubic inches of rain in one hour.\r<BR>\n" );
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document.write( "A gallon is 231 of these. So, in one hour <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=57600Pi%2F231=783.36 ALIGN=MIDDLE  ALT=\"57600Pi%2F231=783.36\"   DISABLED_style= \"max-width:90%; height:auto;\" > gallons per hour.\r<BR>\n" );
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document.write( "Now, you should be able to finish the last few parts of the problem.  </SPAN>\n" );
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