Odpowiedzi

2010-04-10T22:35:15+02:00
Średnica = 18cm
r = 9cm
H = l/2

z tw. Pitagorasa:
l² = r²+H²
l² = 9²+(l/2)²
l² = 81+l²/4 |*4
4l² = 324+l²
4l²-l² = 324
3l² = 324 |:3
l² = 108
l = √36*3
l = 6√3 cm
V = 1/3πr²H
H = l/2 = 6√3/2 = 3√3
V = 1/3*π*9²*3√3
V = 1/3*81*3√3π
V = 81√3π cm³
47 3 47