document.write( "Question 224110: The volume of a sphere with radius r is given by the formula V=(4/3)πr^3 and the surface area is given by the formula S=4πr^2 . If S=100π, find V. (use π = 3.14.) \n" ); document.write( "
Algebra.Com's Answer #167653 by ankor@dixie-net.com(22740)\"\" \"About 
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The volume of a sphere with radius r is given by the formula V=(4/3)πr^3
\n" ); document.write( " and the surface area is given by the formula S=4πr^2 .
\n" ); document.write( " If S=100π, find V. (use π = 3.14.)
\n" ); document.write( ":
\n" ); document.write( "Find r from the surface area equation
\n" ); document.write( "\"4%2Api%2Ar%5E2\" = \"100%2Api\"
\n" ); document.write( ":
\n" ); document.write( "\"r%5E2\" = \"%28100%2Api%29%2F%284%2Api%29\"
\n" ); document.write( ":
\n" ); document.write( "\"r%5E2\" = 25
\n" ); document.write( "r = 5
\n" ); document.write( ":
\n" ); document.write( "Find V
\n" ); document.write( "V = \"%284%2F3%29%2Api%2Ar%5E3\"
\n" ); document.write( "V = \"%284%2F3%29%2A3.14%2A5%5E3\"
\n" ); document.write( "V = \"%284%2F3%29%2A392.5\"
\n" ); document.write( "V = 523\"1%2F3\" cu units
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