Question

O que ocorre com o volume de uma esfera quando o raio aumenta 26%? E quando diminui 31%

Answer 1

V=(4*πr³)/3

0,26r +r= 1,26r

V={4*π(1,26r)}³/3
V=4π2,000376r³/3 ou
V=8,00150πr³/3
V=2,667168πr³

V=(4*πr³)/3------100%
V=2,667168πr³-----x
100*2,667168πr³=(4*πr³)/3*x
266,7168πr³=(4*πr³)/3*x
800,1504πr³=4πr³X
x=200,03%
200,03-100=100,03% aumenta o volume da esfera

r-0,31r=0,69r

V=(4*πr³)/3
V=4π(0,69r)³/3
V=4π0,328509r³/3
V=1,314036πr³/3
V=0,438012πr³

(4*πr³)/3----100%
0,438012πr³----x
(4*πr³)/3*x=43,8012πr³
(4*πr³)x=131,4036πr³
x=131,4036πr³/(4*πr³)
x=32,8509%

100-32,8509=67,1491% diminui o volume