document.write( "Question 218249: A sphere has surface area of 1296 pi in^2. find the volume of the sphere.\r
\n" ); document.write( "\n" ); document.write( "The choices are
\n" ); document.write( "A)24 pi in^3 B)1944 pi in^3
\n" ); document.write( "C)432 pi in^3 D)7776 pi in^3
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Algebra.Com's Answer #164378 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
A sphere has surface area of 1296 pi in^2. find the volume of the sphere.
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\n" ); document.write( "\n" ); document.write( "A)24 pi in^3 B)1944 pi in^3
\n" ); document.write( "C)432 pi in^3 D)7776 pi in^3\r
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\n" ); document.write( "\n" ); document.write( "Step 1. The surface area S of a sphere is given as \"S=4%2Api%2Ar%5E2\". So\r
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\n" ); document.write( "\n" ); document.write( "\"S=1296=4%2Api%2Ar%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Divide \"4%2Api\" to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"1296%2F%284%2Api%29=r%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Take the square root to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%281296%2F%284%2Api%29%29=r\"\r
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\n" ); document.write( "\n" ); document.write( "Step 2. The volume V of a sphere is given as \"V=4%2F3%2Api%2Ar%5E3\". then\r
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\n" ); document.write( "\n" ); document.write( "\"V=4%2F3%2Api%2Ar%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"V=4%2F3%2Api%2A%28sqrt%281296%2F%284%2Api%29%29%29%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"V=4%2F3%2Api%2A%281296%2F%284%2Api%29%29%5E%283%2F2%29\" where \"sqrt%28x%29=x%5E%281%2F2%29\" or \"%28sqrt%28x%29%29%5E3=x%5E%283%2F2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"V=1%2F%283%2Asqrt%284%2Api%29%29%2A1296%5E%283%2F2%29\" where I cancelled the \"4%2Api\" in numerator leaving \"sqrt%284%2Api%29\" in denominator\r
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\n" ); document.write( "\n" ); document.write( "\"V=1296%5E%283%2F2%29%2Asqrt%28pi%29%2F%283%2A2%2Api%29\" where I multiplied by \"sqrt%28pi%29%2Fsqrt%28pi%29=1\" to get rid of square root of pi in denominator.\r
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\n" ); document.write( "\n" ); document.write( "\"V=1296%5E%283%2F2%29%2Asqrt%28pi%29%2F%286%2Api%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"V=1296%5E%283%2F2%29%2Asqrt%28pi%29%2F%286%2Api%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"V=7776%2Asqrt%28pi%29%2Fpi\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. ANSWER is \"V=7776%2Asqrt%28pi%29%2Fpi\". I don't see this answer among your choices.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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\n" ); document.write( "\n" ); document.write( "drjctu@gmail.com\r
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