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.
ScanSolve AI Answer
Huu hapa ni ufumbuzi wa swali la 2: Swali la 2: Emmah ana koni ya aiskrimu bandia. Kipenyo cha koni ni 7 cm na urefu wake ni 12 cm. Tafuta ujazo wa koni ya aiskrimu. (Tumia = (22)/(7)) Step 1: Tafuta rediasi (r) ya koni. Kipenyo (D) ni 7 cm. Rediasi ni nusu ya kipenyo. r = (D)/(2) = 7 cm2 = 3.5 cm Step 2: Tumia fomula ya ujazo wa koni. Fomula ya ujazo (V) wa koni ni V = (1)/(3) r^2 h. Tunapewa h = 12 cm na = (22)/(7). Step 3: Badilisha thamani kwenye fomula na kokotoa. V = (1)/(3) × (22)/(7) × (3.5 cm)^2 × 12 cm V = (1)/(3) × (22)/(7) × (3.5 × 3.5) cm^2 × 12 cm V = (1)/(3) × (22)/(7) × 12.25 cm^2 × 12 cm Kwanza, rahisiisha 12.25 cm^2 ÷ 7: 12.25 ÷ 7 = 1.75 Sasa, endelea na hesabu: V = (1)/(3) × 22 × 1.75 cm^2 × 12 cm V = 22 × 1.75 cm^2 × (12)/(3) cm V = 22 × 1.75 cm^2 × 4 cm V = 22 × 7 cm^3 V = 154 cm^3 Ujazo wa koni ya aiskrimu ni 154 cm^3. Tuma swali linalofuata 📸