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2010-04-12T17:29:26+02:00
F=6√2
r=3√2
h²+3√2²=6²
h²=36-18
h=√18=3√2
V =⅓Pp × h
V=⅓πr² × h
V=6π × 3√2 = 18π√2
2010-04-12T17:35:25+02:00
Analiza:
2r = 6√2
r = 3√2

H = ?
V = ?

z twierdzenia Pitagorasa.
H² + (3√2)² = 6²
H² = 36 - 18
H = √18
H = 3√2

V = 0,5Pp × h
V = 0,5πr² × h
V = 6 x 3 × 3√2
V = 18 x 3 x √2
V = 54√2 [cm³]

Odp. Obiętość wynosi 54√2 cm³.