Odpowiedzi

2010-04-11T13:27:28+02:00
2l + 2r = 30 cm
l+r= 15
l = 15- r
cos60 = r/l
1/2 = r/ 15-r
15-r = 2r
3r=15
r=5 cm
l= 15-5= 10 cm
Pc=π r² + πrl
Pc= π 5² + π 5 * 10= 25π + 50π = 75π (cm²)
V= 1/3 πr² h
sin60= h/l
√3/3 = h/10
h= 10√3/3
V= 1/3 π 5² 10√3/3= 250√3 π / 6 (cm³)

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