Aylanish figuralari


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Aylanish figuralari

AB = 2AD = 2


demak, konus sirti Sk = 9π.
Bundan, = .
Javob: .


14 – masala. Silindrning yasovchisiga tik bo`lgan kesimning yuzi Q ga, o`q kesimining yuzi esa S ga teng. Bu silindrning to`la sirtini va hajmini toping.
Y

echilishi:

Masala shartiga ko`ra, SABCD= S, Sasos = Q
Bundan quyidagi tengliklarni yozish mumkin:
S = AB · AD = 2AO · AD,
Q = π · AO2.
Bizga ma`lumki, silindr to`la sirti
St.c. = Syon +2Sasos . Yuqori dagi tengliklardan
AO= , AD = S/2 .
Bulardan,
St.c = 2π · AO · AD + 2π · AO2 = πS + 2Q.
Ma`lumki silindr hajmi V = π · AO2 · AD ekanligidan,
V = St.c = πS + 2Q.
Javob: V == .
15 – masala. Konus yon sirtining yuzi asosining yuzidan ikki marta katta. Uning o`q kesimining yuzi Q ga teng. Konusning hajmini toping.
Yechilishi:
Masala shartiga ko`ra Syon = 2 · Sasoc ,


\


SABC = Q. Ma`lumki Syon = πrℓ= π · AO · AC,
Sasoc = πr2 = π · AO2, SABC = AO · OC.
formulalar yordamida hisoblanadi. Yuqo-
ridagilarni e`tiborga olsak, ℓ= 2r ya`ni
AC = 2AO, shu bilan birga
Q = AO · = AO2 · .
ekanligini topish mumkin. Bundan AO =
Konus hajmi V = π · · · = .

Adabiyot:


1. Hakimov A.
2. Xolikov Q.S
3. Ungarov B.X.
4. Abjalilov S.X.
5. www.ziyonet.uz
6. www.NUR.uz
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