document.write( "Question 1131645: An ice cream cone is made of an inverted cone with diameter 16 cm and slant height 17 cm, topped with a hemisphere. What is the volume of the shape? \n" ); document.write( "
Algebra.Com's Answer #748333 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
An ice cream cone is made of an inverted cone with diameter 16 cm and slant height 17 cm, topped with a hemisphere.
\n" ); document.write( " What is the volume of the shape?
\n" ); document.write( ":
\n" ); document.write( "Find the height of the cone, r=8, half the diameter
\n" ); document.write( "\"sqrt%288%5E2+%2B+h%5E2%29\" = 17
\n" ); document.write( "64 + h^2 = 17^2
\n" ); document.write( "h^2 = 289 - 64
\n" ); document.write( "h^2 = 225
\n" ); document.write( "h = \"sqrt%28225%29\"
\n" ); document.write( "h = 15 cm is the height
\n" ); document.write( ":
\n" ); document.write( "Find the vol of the cone
\n" ); document.write( "V = \"1%2F3\"\"pi%2A8%5E2%2A15\"
\n" ); document.write( "V = \"pi%2A64%2A5\"
\n" ); document.write( "V = 1005.31 cu/cm
\n" ); document.write( ":
\n" ); document.write( "Find the volume of the hemisphere
\n" ); document.write( "V = \"1%2F2\"*\"4%2F3\"\"pi%2A8%5E3\"
\n" ); document.write( "V = \"4%2F6\"*\"pi%2A512\"
\n" ); document.write( "V = 1072.33 cu/cm
\n" ); document.write( ":
\n" ); document.write( "Total volume of the shape
\n" ); document.write( "1005.31 + 1072.33 = 2077.64 Cu/cm
\n" ); document.write( "
\n" );