document.write( "Question 850358: Merion forms a ball of clay with a radius of 2 in. He then reforms the clay into a cylinder of radius 3 in. What is the height of the cylinder? \n" ); document.write( "
Algebra.Com's Answer #512091 by josgarithmetic(39617)\"\" \"About 
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Volume of Sphere: \"%284%2F3%29pi%2Ar%5Bs%5D%5E2\"
\n" ); document.write( "Volume of Cylinder: \"h%2Api%2Ar%5Bc%5D%5E2\"
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\n" ); document.write( "Subscripts are s for the sphere, and c for the cylinder and these radii may be different values.\r
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\n" ); document.write( "\n" ); document.write( "Sphere: Radius is the given value so no unknowns here. r[s] is known because it is given.
\n" ); document.write( "Cylinder: The radius, r[c] here is also given, so it is also known. The unknown is h, the height, which is what you want to solve for.\r
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\n" ); document.write( "\n" ); document.write( "The volumes of the sphere and the cylinder reformed from it are equal. This means symbolically that \"highlight%28%284%2F3%29pi%2Ar%5Bs%5D%5E2=h%2Api%2Ar%5Bc%5D%5E2%29\".
\n" ); document.write( "SOLVE FOR h.
\n" ); document.write( "\"highlight%28h=%28%284%2F3%29pi%2Ar%5Bs%5D%5E2%29%2F%28pi%2Ar%5Bc%5D%5E2%29%29\" and you need to simplify this.
\n" ); document.write( "SUBSTITUTE THE GIVEN VALUES.
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