document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123579>Question 1123579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am struggling to understand how to work this problem. It is a function word problem for the volume of water. \r<BR>\n" );
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document.write( "Water flowing into a conical drinking cup with an altitude of 4 inches and a radius of 2 inches. write the volume V of the water as a function of its depth h. </SPAN>\n" );
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document.write( "As the water flows into the conical cup, the surface of the water remains flat.<br><BR>\n" );
document.write( "That means the cones of water at different times are all similar.<br><BR>\n" );
document.write( "Since the radius of the whole cup is half the height of the whole cup, the radius of the surface of the water at any time is half the depth of the water at that time.  So at all times r = (h/2).<br><BR>\n" );
document.write( "The formula for the volume of a cone is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%281%2F3%29%28pi%29%28r%5E2%29%28h%29 ALIGN=MIDDLE  ALT=\"V+=+%281%2F3%29%28pi%29%28r%5E2%29%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute r = h/2 in that formula to get a function for the volume of water as a function of the depth of the water. </SPAN>\n" );
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