POJ 3737 UmBasketella(三分)
2011-11-05 20:00
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题意:给出圆锥的表面积(包含底面)。求其最大体积,以及此时的底面半径及高
#include <cmath> #include <iostream> using namespace std; #define eps 0.00000005 #define PI acos(-1.0) // PI用反三角函数比较准确 int main() { double s; while ( scanf("%lf",&s) != EOF ) { double v = 0.0; double low = 0, high = sqrt ( s / PI ); while ( high - low > eps ) { double mid1 = low + ( high - low ) / 3; double mid2 = high - ( high - low ) / 3; double v1 = PI * mid1 * mid1 * sqrt ( pow((s-PI*mid1*mid1)/(PI*mid1),2) - mid1*mid1 ) / 3; double v2 = PI * mid2 * mid2 * sqrt ( pow((s-PI*mid2*mid2)/(PI*mid2),2) - mid2*mid2 ) / 3; if ( v1 > v2 ) { v = v1; high = mid2; } else { v = v2; low = mid1; } } double r = high; double h = sqrt ( pow((s-PI*r*r)/(PI*r),2) - r*r ); printf("%.2lf\n%.2lf\n%.2lf\n", v, h, r); } return 0; }
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