document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008388>Question 1008388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a bowl is made by cutting into half a hollow sphere of external diameter50.8cm, made of metal 2.54cm thick. if the bowl is completely filled with liquid of density 31.75kg/m^3 calculate the mass of liquid in grams. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853918 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53742)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "a bowl is made by cutting into half a hollow sphere of external diameter50.8cm, made of metal 2.54cm thick. <BR>\n" );
document.write( "if the bowl is completely filled with liquid of density 31.75kg/m^3 calculate the mass of liquid in grams.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculations and the final answer in the post by @mananth are incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Below is my correct solution.\r<BR>\n" );
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document.write( "external diameter 50.8cm, made of metal 2.54cm thick.<BR>\n" );
document.write( "internal diameter = 50.80-2.54*2 = 45.76 cm = 0.4576 m<BR>\n" );
document.write( "internal radius = 0.2288 m<BR>\n" );
document.write( "Volume of hemisphere = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"%282%2F3%29%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "V = (2/3) * 3.142 * (0.2288)^3<BR>\n" );
document.write( "= 0.025 m^3<BR>\n" );
document.write( "mass = d*v<BR>\n" );
document.write( "mass = 0.025 * 31.75<BR>\n" );
document.write( "= 0.794 kg            &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<<<---===  &nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>\r<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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document.write( "Been a curious person, I asked Google \"which liquid has the density of 31.75 kg/m^3 ?\"\r<BR>\n" );
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document.write( "Below is the Google answer.\r<BR>\n" );
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document.write( "There is no common pure liquid that has a density of 31.75 kg/m^3 at standard temperature and pressure.<BR>\n" );
document.write( "This value is exceptionally low for a liquid; for comparison, water has a density of approximately <BR>\n" );
document.write( "1.000 kg/m^3, and the lightest known liquid, liquid hydrogen, has a density of about 70.85 kg/m^3 at 20 K.\r<BR>\n" );
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document.write( "A density of 31.75 kg/m^3 is more characteristic of:\r<BR>\n" );
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document.write( "Gases under high pressure: Many gases reach this density when compressed significantly.\r<BR>\n" );
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document.write( "Supercritical fluids: Substances in a state between a gas and a liquid, such as carbon dioxide (CO2), <BR>\n" );
document.write( "can be tuned to this specific density by adjusting temperature and pressure.\r<BR>\n" );
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document.write( "Foams or Aerogels: While these are solids, they are \"liquid-like\" in certain industrial contexts and can have <BR>\n" );
document.write( "very low densities. \r<BR>\n" );
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document.write( "If this figure appeared in a specific textbook or problem set, it likely refers to a gas or a specific substance <BR>\n" );
document.write( "at a non-standard, high-pressure state.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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