Ze stożka wycieto walec (zob. rys. załącznik) Oblicz objętość powstałej bryły
objetosc bryly = stozek - walec
objetosc stozka scietego = π/3 * h (R² + Rr + r²) = π/3 * 3 (7,5² + 7,5*4,5 + 4,5²)
objetosc walca = π r² * h = π * 4,5² * 3
objetosc = π * (56,25 + 33,75 + 20,25) - π * 20,25 * 3 = 110,25 π - 60,75 π = 49,5 π
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objetosc bryly = stozek - walec
objetosc stozka scietego = π/3 * h (R² + Rr + r²) = π/3 * 3 (7,5² + 7,5*4,5 + 4,5²)
objetosc walca = π r² * h = π * 4,5² * 3
objetosc = π * (56,25 + 33,75 + 20,25) - π * 20,25 * 3 = 110,25 π - 60,75 π = 49,5 π