#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using pq_ = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(int)(a&1),a>>=1;}return res;} template T square(T a){return a * a;} const long double pi = acosl(-1); void solve(); // DEAR MYSTERIES / TOMOO int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; cin >> t; rep(i, 0, t) solve(); } void solve(){ using ld = long double; struct F { ld x, y, z, r; }; vector p(2); rep(i, 0, 2) { cin >> p[i].x >> p[i].y >> p[i].z >> p[i].r; } if (p[0].r > p[1].r) swap(p[0], p[1]); ll DIST = 0; { ll tmp = p[0].x - p[1].x; DIST += tmp * tmp; } { ll tmp = p[0].y - p[1].y; DIST += tmp * tmp; } { ll tmp = p[0].z - p[1].z; DIST += tmp * tmp; } ld dist = sqrtl(DIST); // cout << dist << "\n"; ll dr = p[1].r - p[0].r; if (DIST <= dr * dr) { cout << fixed << setprecision(20) << pi * 4 * p[0].r * p[0].r * p[0].r / 3 << "\n"; return; } dr = p[0].r + p[1].r; if (DIST >= dr * dr) { cout << "0\n"; return; } vector q(2); // dist, p[0].r, p[1].r の三角形を考える // https://manabitimes.jp/math/968 auto f = [&](ld r, ld x) -> ld { return pi * (r * r - x * x / 3) * x; }; ld ans = 0; rep(rp, 0, 2) { swap(p[0], p[1]); // https://manabitimes.jp/math/2125 ld tmp = (p[0].r * p[0].r + dist * dist - p[1].r * p[1].r) / (2 * dist); // cout << p[0].r << " " << tmp << "\n"; ans += f(p[0].r, p[0].r); ans -= f(p[0].r, tmp); } cout << fixed << setprecision(20) << ans << "\n"; }