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d = 8√2
α = 60 stopni
Szukane:
V = ???
Obliczenie:
V = П r do kwadratu * h
sin α = a/c I c
a = 8√2 * √3/2 = ( 8√2 * √3 ) /2 = 4√6
a - wysokość walca ( h )= 4√6
cosα = b/c I * c
b = cosα * c
b = 1/2 * 8√2 = 4√2
b - średnica walca( r )= 1/2 b
r = 2√2
V = 3,14 * (2√2) do kwadratu * 4√6
V = 3,14 * 8 * 4√6
V = 25,12 * 4√6
V = 25,12 √96
Odp. Objętość walca wynosi 25,12√96 jednostek sześciennych