document.write( "Question 68040: A cylinder has a radius of 5 in. If the volme of the cylinder is 250π in.³, what is the height of the cylinder?
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document.write( "[Hint: The volume of a cylinder is given by V = πr²h.] \n" );
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Algebra.Com's Answer #48491 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A cylinder has a radius of 5 in. If the volume of the cylinder is 250π in.³, what is the height of the cylinder? \n" ); document.write( ": \n" ); document.write( "[Hint: The volume of a cylinder is given by V = πr²h.] \n" ); document.write( ": \n" ); document.write( "Substituting in the given formula: \n" ); document.write( "pi*5^2*h = 250 \n" ); document.write( ": \n" ); document.write( "pi*25*h = 250; squared 5 \n" ); document.write( ": \n" ); document.write( "78.5398h = 250; multiplied by pi \n" ); document.write( ": \n" ); document.write( "h = 250/78.5398; divided both sides by 78.5398 \n" ); document.write( ": \n" ); document.write( "h = 3.1831 in is the height \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution with h = 3.1831 using a calc: \n" ); document.write( "V = pi*5^2*3.1831 \n" ); document.write( "V = 250.00 \n" ); document.write( ": \n" ); document.write( "That wasn't so hard, right? \n" ); document.write( " \n" ); document.write( " |