document.write( "Question 1077098: A cone's height is six times greater than the measure of the cone's radius. The volume of the cone is 339.12 in 3. What are the cone's radius and height? Round to the nearest hundredth.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #691677 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"r\"$ = cone's radius, in inches
\n" ); document.write( " $\"h=6r\"$ = cone's height, in inches
\n" ); document.write( "The volume of a cone is
\n" ); document.write( " $\"%281%2F3%29%2Api%2Ar%5E2%2Ah\"$ , so in this case, the volume (in cubic inches) is
\n" ); document.write( " $\"%281%2F3%29%2Api%2Ar%5E2%2A6r=highlight%282pi%2Ar%5E3=339.12%29\"$ .
\n" ); document.write( "All you have to do is solve for $\"r\"$ ,
\n" ); document.write( "and then calculate $\"h=6r\"$ .
\n" ); document.write( "Solving for r:
\n" ); document.write( " $\"2pi%2Ar%5E3=339.12\"$
\n" ); document.write( " $\"r%5E3=339.12%2F%222+pi%22=about53.972624\"$
\n" ); document.write( " $\"r=about\"$ $\"root%283%2C53.972624%29=about\"$ $\"highlight%283.779%29\"$
\n" ); document.write( "So, the radius, founded to the nearest hundredth is $\"highlight%283.78inches%29\"$ .
\n" ); document.write( "You can calculate the height,
\n" ); document.write( "but do not forget to write inches as the unit. \n" ); document.write( "

\n" );