document.write( "Question 744763: a
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document.write( "cylindrical tennis
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document.write( "ball container can
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document.write( "contain maximum
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document.write( "three ball stacked
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document.write( "on one another.the
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document.write( "top and bottom ball
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document.write( "also touch the lid
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document.write( "and the base of the
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document.write( "container
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document.write( "respectively if the
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document.write( "volume of a tennis
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document.write( "ball is 240 cm,then
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document.write( "what is the volume
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document.write( "of the container? \n" );
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Algebra.Com's Answer #453539 by mananth(16946)![]() ![]() You can put this solution on YOUR website! V ball = 240\r \n" ); document.write( "\n" ); document.write( "V = 4/3 * pi * r^3\r \n" ); document.write( "\n" ); document.write( "240 = 4/3 * pi * r^3\r \n" ); document.write( "\n" ); document.write( "(240*3)/(4 * pi) = r^3\r \n" ); document.write( "\n" ); document.write( "r^3=57.29\r \n" ); document.write( "\n" ); document.write( "r=3.85 cm radius of the ball\r \n" ); document.write( "\n" ); document.write( "diameter = 7.70cm\r \n" ); document.write( "\n" ); document.write( "Since the balls are touching each other and 3 balls can be place in the cylinder \n" ); document.write( "the height of cylinder = 3 * diameter\r \n" ); document.write( "\n" ); document.write( "=>23.10cm\r \n" ); document.write( "\n" ); document.write( "radius of cylinder = radius of ball\r \n" ); document.write( "\n" ); document.write( "So cylinder volume = pi * r^2*h \n" ); document.write( "r=3.85, h=23.10 \n" ); document.write( "substitute to get the answer\r \n" ); document.write( "\n" ); document.write( "1075 cm^3 ( rounded off) \n" ); document.write( " |