document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104128>Question 104128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hemisphere of the radius 3 inches sits on top pf a cylinder of radius 3 inches. The entire solid is 12 inches tall. What is its volume of the entire solid? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75761 by </B><A HREF=/tutors/aboutme.mpl?userid=TP><B>TP(29)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TP><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=75761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the hemisphere has height(radius) 3 inches then the height of the cylinder must be 9 inches(since you are told that the total height is 12 inches).<BR>\n" );
document.write( "Now the formula for the volume of a cylinder is pi*(radius)^2*(height) and so the cylinder has volume 3.142*3^2*9=254.469 cubic inches.\r<BR>\n" );
document.write( "\n" );
document.write( "Now the formula for the volume of a sphere is (4*pi*(radius)^3)/3.<BR>\n" );
document.write( "This means that the formula for a hemisphere is a half of this.<BR>\n" );
document.write( "And so the volume of a hemisphere is (2*pi*(radius)^3)/3.<BR>\n" );
document.write( "So our hemisphere must have a volume of (2*3.142*(3)^3)/3 = (6.284*27)/3 = 56.556 cubic inches.\r<BR>\n" );
document.write( "\n" );
document.write( "The total volume then is 254.469+56.556 cubic inches =311.025 cu.ins.ANS  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );