document.write( "Question 862881: Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with a radius of 70 cm. \n" ); document.write( "
Algebra.Com's Answer #520066 by josgarithmetic(39623)\"\" \"About 
You can put this solution on YOUR website!
Use the positive x axis for radius and the positive y axis for height.
\n" ); document.write( "\"V=y%2Api%2Ax%5E2\". The description is of the cross section through the middle of the cylinder. This cross section uses a circle \"x%5E2%2By%5E2=70%5E2\". You can reform the volume either in terms of x or in terms of y. \r
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\n" ); document.write( "\n" ); document.write( "\"V=y%2Api%2A%2870%5E2-y%5E2%29%5E2\"
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\n" ); document.write( "\"highlight_green%28V=pi%2A24010000y-9600%2Api%2Ay%5E3%2Bpi%2Ay%5E5%29\"
\n" ); document.write( "Two choices. Use a graphing tool or try derivative of V and maybe then resort to a graphing tool. Where is derivative equal to zero? Corresponding x? Corresponding volume?\r
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\n" ); document.write( "potentially posting and keeping unfinished.
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