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
Hapa kuna suluhisho la swali lako: Ili kukokotoa urefu wa jumla wa solidi, tunahitaji kujumlisha urefu wa sehemu ya koni, urefu wa sehemu ya silinda, na urefu wa sehemu ya hemisfera. Data iliyotolewa: • Kipenyo cha sehemu zote (D) = 12 cm • Radiasi (r) = (D)/(2) = (12)/(2) = 6 cm • Urefu wa sehemu ya silinda (h_cyl) = 15 cm • Urefu mteremko wa sehemu ya koni (l_cone) = 10 cm a) Urefu wa solidi. Step 1: Tafuta urefu wa sehemu ya koni (h_cone) kwa kutumia theorem ya Pythagoras. l_cone^2 = r^2 + h_cone^2 10^2 = 6^2 + h_cone^2 100 = 36 + h_cone^2 h_cone^2 = 100 - 36 h_cone^2 = 64 h_cone = sqrt(64) h_cone = 8 cm Step 2: Tafuta urefu wa sehemu ya hemisfera (h_hemi). Urefu wa hemisfera ni sawa na radiasi yake. h_hemi = r = 6 cm Step 3: Kokotoa urefu wa jumla wa solidi (H_total) kwa kujumlisha urefu wa sehemu zote. H_total = h_cone + h_cyl + h_hemi H_total = 8 cm + 15 cm + 6 cm H_total = 29 cm Urefu wa solidi ni: 29 cm Drop the next question.