Konus asosining radiusi R ga, uning yon sirti esa asosi va o’q kesimi yuzlarining yig’indisiga teng. Konusning hajmini toping.
Limitni hisoblang.
Integralni hisoblang.
17-variant
Tenglamani yechimini toping.
Tengsizlikni yeching.
Sakkiz burchakli muntazam prizmaning hajmi 8 m2 ga, uning balandligi esa 2,2 m ga teng. Bu prizmaning yon sirtini toping.
Limitni hisoblang.
Integralni hisoblang.
18-variant
Tenglamani yechimini toping.
Tengsizlikni yeching.
Uch burchakli to’g’ri prizma asosining yuzi 4 sm2 ga, yon yoqlarining yuzlari 9 sm2 , 10 sm2 va 17 sm2 ga teng. Prizmaning hajmini toping.
Limitni hisoblang.
Integralni hisoblang.
19-variant
Tenglamani yechimini toping.
Tengsizlikni yeching.
To’g’ri burchakli muntazam piramidaga kub shunday ichki chizilganki, uning to’rtta uchi piramidaning apofemalarida, to’rtta uchi esa asos tekisligida joylashgan. Piramidaning barcha qirralari o’zaro teng bo’lib, ularning uzunligi a ga teng. Kubning to’la sirtini toping.
Limitni hisoblang.
Integralni hisoblang.
20-variant Tenglamani yechimini toping.
Tengsizlikni yeching.
Olti burchakli muntazam piramida asosining tomoni a ga teng. Agar bu piramidaning yon sirti asosining yuzidan o’n marta kata ekanligi ma’lum bo’lsa, uning hajmini hisoblang.