Răspuns:
Explicație pas cu pas:
1 ) a) R = 4 cm ; G = 7 cm ; h = G = 7 cm
Al = 2πRG = 2π·4·7 = 56π cm²
Ab = πR² = 16π cm²
At = Al + 2Ab = 56π+32π = 88π cm²
V = πR²h = π·16·7 = 112π cm³
1) b) R = 6 cm ; G = 8 cm ; h = G = 8 cm
Al = 2πRG = 2π·6·5 = 60π cm²
Ab = πR² = 36π cm²
At = Al + 2Ab = 60π+72π = 132π cm²
V = πR²h = π·36·8 = 288π cm³
2) a) G = 5 cm ; Ab = 16π cm²
Ab = πR² => R² = Ab/π = 16π/π = 16 => R = √16 = 4 cm
Al = 2πRG = 2π·4·5 = 40π cm²
At = Al + 2Ab = 40π + 32π = 72π cm²
V = πR²h = π·16·5 = 80π cm³
2) b) G = 6 cm ; Ab = 25π cm²
Ab = πR² => R² = Ab/π = 25π/π = 25 => R = √25 = 5 cm
Al = 2πRG = 2π·5·6 = 60π cm²
At = Al + 2Ab = 60π + 50π = 110π cm²
V = πR²h = π·25·6 = 150π cm³
