## DESCRIPTION ## Solid of Revolution Application ## ENDDESCRIPTION ## KEYWORDS('Solid', 'Revolution', 'Application') ## Tagged by nhamblet ## DBsubject('Calculus') ## DBchapter('Applications of Integration') ## DBsection('Solids of Revolution') ## Date('5/20/2000') ## Author('Zig Fiedorowicz') ## Institution('Ohio State') ## TitleText1('Calculus: Early Transcendentals') ## EditionText1('5') ## AuthorText1('Stewart') ## Section1('6.2') ## Problem1('') ## TitleText2('Calculus: Early Transcendentals') ## EditionText2('6') ## AuthorText2('Stewart') ## Section2('6.2') ## Problem2('') DOCUMENT(); loadMacros( "PG.pl", "PGbasicmacros.pl", "PGchoicemacros.pl", "PGanswermacros.pl", "PGauxiliaryFunctions.pl" ); $showPartialCorrectAnswers = 1; if (!($studentName =~ /PRACTICE/)) { $seed = random(1,4,1); if ($studentName =~ /VINCE VERSION1/) {$seed = 1;} if ($studentName =~ /VINCE VERSION2/) {$seed = 2;} if ($studentName =~ /VINCE VERSION3/) {$seed = 3;} if ($studentName =~ /VINCE VERSION4/) {$seed = 4;} SRAND($seed);} $bb = random(2,5);$aa = $bb+random(1,3);$aa = 10*$aa;$a2 = $aa*$aa; $bb = 10*$bb; $b2 =$bb*$bb; TEXT(beginproblem()); BEGIN_TEXT As viewed from above, a swimming pool has the shape of the ellipse $\frac{x^2}{a2}+\frac{y^2}{b2}=1$ The cross sections perpendicular to the ground and parallel to the $$y$$-axis are squares. Find the total volume of the pool. (Assume the units of length and area are feet and square feet respectively. Do not put units in your answer.)$BR $$V$$ = \{ ans_rule()\} $PAR END_TEXT ANS(num_cmp((16/3)*$b2*\$aa)); ENDDOCUMENT();