Radiusi 3 sm, balandligi 5 sm bo‘lgan silindr hajmini toping., V = πr²h = π·9·5 = 45π sm³, Radiusi 2 sm, balandligi 10 sm. Yon sirt yuzini toping., S = 2πrh = 2π·2·10 = 40π sm², Radiusi 4 sm, balandligi 6 sm bo‘lgan silindr to‘liq sirt yuzini toping., S = 2πr(h + r) = 2π·4·(6+4) = 80π sm², Silindr radiusi 5 sm, balandligi 2 sm. Hajmini toping., V = π·25·2 = 50π sm³, Hajmi 100π sm³, radiusi 5 sm. Balandlikni toping., V = πr²h → 100π = 25πhh = 4 sm, Yon sirt yuzasi 60π sm², radiusi 3 sm. Balandlikni toping., 2πrh = 60π → 6h = 60 → h = 10 sm, To‘liq sirt yuzasi 150π sm², radiusi 5 sm. Balandlikni toping., 2πr(h+r)=150π10(h+5)=150h+5=15 → h = 10 sm, Hajmi 192π sm³, balandligi 12 sm. Radiusni toping., πr²·12 = 192π12r² = 192 → r² = 16 → r = 4 sm, Silindrda radius 6 sm, hajm 216π sm³. Balandlikni toping., π·36·h = 216π36h = 216 → h = 6 sm, Silindrning to‘liq sirt yuzasi 264π sm², radiusi 6 sm. Balandlikni toping., 2πr(h+r)=264π12(h+6)=264h+6=22 → h = 16 sm.
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Silindr
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