V= 1/3 × π × R² × h
OC =OB = R
SC=SB= l
SO = h
sin a= SO/SC
отсюда SO = sin a × SC = l × sin a (высота)
cos a = OC/SC
отсюда ОС = cos a × SC = l × cos a (радиус)
V = 1/3*l²*cos²a*l*sin a π = 1/3 l³*cos²a*sina π
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Answers & Comments
V= 1/3 × π × R² × h
OC =OB = R
SC=SB= l
SO = h
sin a= SO/SC
отсюда SO = sin a × SC = l × sin a (высота)
cos a = OC/SC
отсюда ОС = cos a × SC = l × cos a (радиус)
V = 1/3*l²*cos²a*l*sin a π = 1/3 l³*cos²a*sina π