document.write( "Question 165645: The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know the formula for finding volume for a sphere - but I don't know how to use it without any additional information. Thanks for your help in this. \n" ); document.write( "
Algebra.Com's Answer #122105 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know the formula for finding volume for a sphere - but I don't know how to use it without any additional information. Thanks for your help in this. \n" ); document.write( "------------------------- \n" ); document.write( " \n" ); document.write( "You could solve for the radius, then find the volume of the smaller ball, but that's not necessary. \n" ); document.write( "The volume is a function of the cube of the radius. If the radius is doubled, the volume is 2^3 time, or 8 times. \n" ); document.write( "The 2nd ball's radius is 1/2, so its volume is (1/2)^3 times, or 1/8. \n" ); document.write( "So it's 100 cubic inches or air.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |