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
Sawa, nimeona picha. Hili ni swali la 27. Hapa kuna hatua za kutatua swali hili: Step 1: Andika uhusiano kati ya kasi (V) na rediasi (r). Kasi ya maji inapita kwenye bomba inalingana kinyume na mraba wa rediasi ya bomba. Hii inamaanisha: V (1)/(r^2) Au kwa kutumia kigezo cha uwiano k: V = (k)/(r^2) Step 2: Tumia taarifa uliyopewa kupata thamani ya k. Tunajua kuwa V = 30 cm/s wakati r = 2 cm. 30 = (k)/((2)^2) 30 = (k)/(4) Zidisha pande zote mbili kwa 4: k = 30 × 4 k = 120 Step 3: Tumia thamani ya k kupata kasi mpya wakati rediasi ni 4 cm. Sasa tunataka kupata V wakati r = 4 cm. V = (120)/((4)^2) V = (120)/(16) Step 4: Rahisisha jibu. V = (120)/(16) Gawanya namba zote mbili kwa 8: V = (15)/(2) V = 7.5 cm/s Kasi ya maji wakati rediasi ni 4 cm ni: 7.5 cm/s 3 done, 2 left today. You're making progress.