document.write( "Question 1182945: (a) An open lid tank to be made by concrete has width 50𝑐𝑚, inside capacity of
\n" ); document.write( " 4000 𝑚3 and square base. Find the inner dimension of the tank wit the minimum volume of concrete. \r
\n" ); document.write( "\n" ); document.write( "(b) Using definite integrals, design a mathematical model to find the innervolume of a circular tube of a vehicle wheel. \r
\n" ); document.write( "\n" ); document.write( "(c) Draw the curves of 𝑦^2 = 4𝑎𝑥 and 𝑦^2 = 𝑎(8 − 4𝑥) in the same diagram, where
\n" ); document.write( " a>0.
\n" ); document.write( " i) Find the area 𝑆 enclosed by the curves.
\n" ); document.write( " ii) If the area 𝑆 is rotated of an angle 2𝜋 about:
\n" ); document.write( " (α) 𝑥 − axis; (β) 𝑦 − axis;
\n" ); document.write( " then find the volumes of the generated bodies.
\n" ); document.write( "

Algebra.Com's Answer #813071 by ikleyn(52905)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

One and ONLY ONE problem/question per post.

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is the RULE,  the  POLICY  and the  REQUIREMENT  of this forum.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is written in this page\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/tutors/students/ask.mpl?action=ask_question&topic=Equations&return_url=http://www.algebra.com/algebra/homework/equations/\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "from which you post your problems.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is assumed that you read these rules before posting.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is also assumed that you do understand what is written in that page and follow the rules.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Those who violate them,  work against their own interests.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "*******************************************************************\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        So   P L E A S E   post your problems   S E P A R A T E L Y  (!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "*******************************************************************\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );