Odpowiedź:
a)
sinα = 0.5
h/D = 1/2
8/D = 1/2 /*D
1/2D = 8 cm / 0.5
D = 16 cm
D^2 = d^2 + h^2
256 = d^2 + 64
d^2 = 256 - 64 = 192
d = 8√3 /2
r = 4√3
Pp = 3,14 * (4√3)^2 = 3,14 * 48 = 150, 72 cm^2
Pb = 3,14d * 8 = 25,12d = 100,48√3 cm^2
Pc = 2 * 150, 72 + 100,48 = 401,92 cm^2
b)
h/D = √3/2
8/D = √3/2 /*D
√3/2D = 8 / √3/2
D = 16/√3
(16√3)^2 = d^2 + 64
d^2 = 768 - 64 =704 /√
d = 8√11/2
r = 4√11
Pp= 3,14 * (4√11)^2 = 552,64 cm^2
Pb = 8√11 * 3,14 * 8 = 200.96√11 cm^2
Pc = 2 * 552,64 + 200.96√11 = 1105,28 + 200.96√11 cm^2
c)
dD = 1/4 = 0,25
arccos = 75,5
α = 75,5°
tg 75,5° = 8/d = 3.8667 /*d
3.8667d = 8 /3.8667
d = 2,07
r = 1,035
Pp= 3,14 * (1,035)^2 = 3,36 cm^2
Pb = 2,07 * 3,14 * 8 = 52 cm^2
Pc = 2 * 3,36 + 52 = 58,72 cm^2
