This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Haya Exodus, twende kazi. 28. a) Kokotoa kiasi cha maji katika lita ambacho ndoo M inaweza kushika. Step 1: Tafuta radius ya ndoo M. Kipenyo (D) = 28 cm Radius (r) = (D)/(2) = 28 cm2 = 14 cm Step 2: Kokotoa ujazo wa ndoo M katika sentimita za ujazo (cm^3). Urefu (h) = 100 cm Tumia = (22)/(7) Fomula ya ujazo wa silinda ni V = r^2 h. V = (22)/(7) × (14 cm)^2 × 100 cm V = (22)/(7) × 196 cm^2 × 100 cm V = 22 × 28 × 100 cm^3 V = 61600 cm^3 Step 3: Badilisha ujazo kutoka sentimita za ujazo kwenda lita. Tunajua kuwa 1 lita = 1000 cm^3. V_lita = 61600 cm^31000 cm^3/lita V_lita = 61.6 lita Ndoo M inaweza kushika lita 61.6 za maji. 61.6 lita 28. b) Jagi ngapi N zinaweza kutosha kujaza ndoo M? Step 1: Tumia ujazo wa ndoo M na ujazo wa jagi N. Ujazo wa ndoo M = 61.6 lita (kutoka sehemu a) Ujazo wa jagi N = 2.2 lita (kutoka maelezo ya swali) Step 2: Kokotoa idadi ya jagi zinazohitajika. Idadi ya jagi = Ujazo wa ndoo MUjazo wa jagi N Idadi ya jagi = 61.6 lita2.2 lita Idadi ya jagi = (616)/(22) Idadi ya jagi = 28 Jagi 28 N zinaweza kutosha kujaza ndoo M. 28 jagi 3 done, 2 left today. You're making progress.