1. ^ -potega d=12 d= 2r r = 6 V =4/3 * TT * r ^3 V = 4/3 * TT * 6^3 V = 4/3 * TT * 216 V= 288 TT P= 4 TT r ^2 P= 4 TT* 6 ^2 P= 144 TT 2. a) P= 100 TT P= 4 TT r ^2 100 TT= 4* TT * r^2 / : 4 TT 25 = r^2 r= 5 cm b) P= 1 TT ?? <-- bo chyba zabrakło P= 4 TT r ^2 1 TT= 4* TT * r^2 /:4 TT 1/4 = r^2 r= 0,5 m c) V= 288 TT V =4/3 * TT * r ^3 288 TT = 4/3 * TT * r ^3 / :4/3 TT 216 = r^3 r = 6 cm d) 1 litr = 1 dm^3 V= 36 TT V =4/3 * TT * r ^3 36 TT = 4/3 * TT * r ^3 / : 4/3 TT 27 = r^3 r= 3 dm
1. R - promień kuli V - objętość kuli P - pole powierzchni kuli D - średnica kuli D = 12 D = 2R R = 12 : 2 = 6 P = 4πR² P = 4π*6² = 4π*36 = 144π j² V = ⁴/₃πR³ V = ⁴/₃π*6³ = ⁴/₃π*216 = 288π j³ 2. a) R - promień kuli P - pole powierzchni kuli P = 100π cm² P = 4πR² 4πR² = 100π /: 4π R² = 25 R = √25 = 5 cm b)o polu powierzchni 1m2 R - promień kuli P - pole powierzchni kuli P = 1 m² P = 4πR² 4πR² = 1 /: 4π R² = 1/4π R = √1/4π = 1/2√π = √π/2√π*√π = √π/2π cm c) R - promień kuli V - objętość kuli V = 288π cm³ V = ⁴/₃πR³ ⁴/₃*πR³ = 288π /: (⁴/₃π) R³ = 288π : (⁴/₃*π) R³ = 288π * 3/4π R³ = 216 R = ∛216 R = 6 cm d) R - promień kuli V - objętość kuli V = 36 l = 36 dm³ V = ⁴/₃πR³ ⁴/₃*πR³ = 36 /: (⁴/₃π) R³ = 36 : (⁴/₃*π) R³ = 36 * 3/4π R³ = 27/π R = ∛27/π = 3/∛π = 3∛π²/∛π³ = 3∛π²/π dm
