V=4/3πr³ P=4πr² a) r=3 V=4/3π*3³=4/3π*27=36π P=4π*3²=4π*9=36π b) r=4 V=4/3π*4³=4/3π*64=85⅓π P=4π*4²=4π*16=64π d) d=3 wiec r=1,5 V=4/3π*1,5³=4/3π*3,375=4,5π P=4π*1,5²=4π*2,25=9π e) d=4√3 więc r=2√3 V=4/3π*(2√3)³=4/3π*24√3=32√3π P=4π*(2√3)²=4π*12=48π
Objetosc kuli: V=3/4[latex]pi[/latex] r do 3 Pole Kuli = 4 [latex]pi[/latex] r do kwadratu a) V = 0,75 x [latex]pi[/latex] x 27 V = 20,25 [latex]pi[/latex] Pk = 4 x [latex]pi[/latex] x 9 Pk = 36 [latex]pi[/latex] b) (4 pierw z 2) do 3 = 256 V = 0,75 x [latex]pi[/latex] x 256 V = 192 [latex]pi[/latex] Pk = 4 x [latex]pi[/latex] x 36 Pk = 144 [latex]pi[/latex] c) d = 2r V = 0,75 x [latex]pi[/latex] x 3,375 V = 2,53215 [latex]pi[/latex] Pk = 4 x [latex]pi[/latex] x 2,25 Pk = 9 [latex]pi[/latex] d) V = 0,75 x [latex]pi[/latex] x 72 V = 54 [latex]pi[/latex] Pk = 4 x [latex]pi[/latex] x 48 Pk = 192 [latex]pi[/latex]
