document.write( "Question 863466: The glass in the picture has a height of 14 cm and a diameter of 6 cm. The distance from the bottom of the glass to the top of the liquid is 10 cm. Ice cubes measure 2 cm on each side. How many ice cubes can be added to the liquid in the glass before it will spill over the top of the glass? \n" ); document.write( "

Algebra.Com's Answer #520474 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
The glass in the picture has a height of 14 cm and a diameter of 6 cm. The distance from the bottom of the glass to the top of the liquid is 10 cm. Ice cubes measure 2 cm on each side. How many ice cubes can be added to the liquid in the glass before it will spill over the top of the glass?\r
\n" ); document.write( "\n" ); document.write( "Find the volume of the empty portion of the glass\r
\n" ); document.write( "\n" ); document.write( "height 14 cm
\n" ); document.write( "water in glass = 10cm\r
\n" ); document.write( "\n" ); document.write( "empty height = 4cm\r
\n" ); document.write( "\n" ); document.write( "Volume of this empty portion = pi * r^2 * h\r
\n" ); document.write( "\n" ); document.write( "V= pi*3^2*4\r
\n" ); document.write( "\n" ); document.write( "V= 36 pi\r
\n" ); document.write( "\n" ); document.write( "Volume of ice cube = 2^3=8 cm^3\r
\n" ); document.write( "\n" ); document.write( "Number of cubes = 36 * pi/8
\n" ); document.write( "= 14.1\r
\n" ); document.write( "\n" ); document.write( "so when you put the fifteenth it will overflow \n" ); document.write( "

\n" );