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# Diff of /trunk/NationalProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_i/hmwk9/prob9.pg

Revision 213 Revision 269
26$aa = 10*$aa; 26$aa = 10*$aa;
27$a2 =$aa*$aa; 27$a2 = $aa*$aa;
28$bb = 10*$bb; 28$bb = 10*$bb;
29$b2 =$bb*$bb; 29$b2 = $bb*$bb;
30 30
31TEXT(&beginproblem); 31TEXT(beginproblem());
32BEGIN_TEXT 32BEGIN_TEXT
33As viewed from above, a swimming pool has the shape of the ellipse 33As viewed from above, a swimming pool has the shape of the ellipse
34$\frac{x^2}{a2}+\frac{y^2}{b2}=1$ 34$\frac{x^2}{a2}+\frac{y^2}{b2}=1$
35The cross sections perpendicular to the ground and parallel to the $$y$$-axis 35The cross sections perpendicular to the ground and parallel to the $$y$$-axis
36are squares. Find the total volume of the pool. (Assume the units of length and 36are squares. Find the total volume of the pool. (Assume the units of length and
40$PAR 40$PAR
41 41
42This is similar to problem 47 in section 8.1 of the text. 42This is similar to problem 47 in section 8.1 of the text.
43END_TEXT 43END_TEXT
44 44
45&ANS(num_cmp((16/3)*$b2*$aa)); 45ANS(num_cmp((16/3)*$b2*$aa));
46 46
47ENDDOCUMENT(); 47ENDDOCUMENT();

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