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