document.write( "Question 178865: You are taking a pottery class. As an assignment, you are given a lump of clay whose volume is 200 cubic centimeters and asked to make a cylindrical pencil holder. The pencil holder should be 9 cm high and have an inner radius of 3 cm. What thickness x should your pencil holder have if you want to use all the clay? \n" ); document.write( "
Algebra.Com's Answer #133821 by Mathtut(3670)\"\" \"About 
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Q: Pottery You are taking a pottery class. As an assignment, you are given a lump of clay whose volume is 200 cubic cetimeters and asked to make a cylindrical pencil holder. The pencil holder should be 9 centimeters high and have an inner radius of 3 centimeters. What thickness x should your pencil holder have if you want to use all the clay? (Hint: The volume of clay equals the difference of the volumes of two cylinders.)\r
\n" ); document.write( "\n" ); document.write( "Ans: \r
\n" ); document.write( "\n" ); document.write( "Total Volume of hollow cylender V = 200 cc
\n" ); document.write( "Inner radius Ri = 3 Cm
\n" ); document.write( "Outer Radius Ro = r (Assume it)
\n" ); document.write( "Height of cylinder = 9 cm
\n" ); document.write( ":
\n" ); document.write( "Volume of Hollow Cylinder=Volume of Outer Cylinder - Volume Of inner Cylinder
\n" ); document.write( " so 200 = Pi*Ro*Ro*9 - Pi*Ri*Ri*9
\n" ); document.write( " = Pi*9(Ro*Ro - 3*3)
\n" ); document.write( " 200/(3.14*9)= Ro*Ro -9
\n" ); document.write( " 200/28.26 + 9 = Ro*Ro
\n" ); document.write( " 7.077 + 9 = Ro*Ro
\n" ); document.write( " 16.077 = Ro*Ro
\n" ); document.write( " 4 = Ro ----------(Taking square Root )
\n" ); document.write( ":\r
\n" ); document.write( "\n" ); document.write( "So thickness of the Cylinder = Ro-Ri (Outer Radius - Inner Radius)
\n" ); document.write( " = 4 - 3
\n" ); document.write( " = 1 cm
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