por favor;calcula o raio duma esfera cujo volume é 358 cm
Soluções para a tarefa
Respondido por
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Volume de uma esfera é a seguinte fórmula

onde r - raio
Assim
![358= \frac{4 \pi r^3}{3} \\ \\ 358.3=4 \pi r^3 \\ \\ r^3= \frac{358.3}{4 \pi } \\ \\ r= \sqrt[3]{ \frac{358.3}{4 \pi } } = \sqrt[3]{ \frac{1074}{4 \pi } } = \sqrt[3]{ \frac{1074}{4.3,14} } = \sqrt[3]{ \frac{1074}{12,56} } = \sqrt[3]{85,51} = 4,41 cm 358= \frac{4 \pi r^3}{3} \\ \\ 358.3=4 \pi r^3 \\ \\ r^3= \frac{358.3}{4 \pi } \\ \\ r= \sqrt[3]{ \frac{358.3}{4 \pi } } = \sqrt[3]{ \frac{1074}{4 \pi } } = \sqrt[3]{ \frac{1074}{4.3,14} } = \sqrt[3]{ \frac{1074}{12,56} } = \sqrt[3]{85,51} = 4,41 cm](https://tex.z-dn.net/?f=358%3D+%5Cfrac%7B4+%5Cpi+r%5E3%7D%7B3%7D++%5C%5C++%5C%5C+358.3%3D4+%5Cpi+r%5E3+%5C%5C++%5C%5C+r%5E3%3D+%5Cfrac%7B358.3%7D%7B4+%5Cpi+%7D++%5C%5C++%5C%5C+r%3D+%5Csqrt%5B3%5D%7B+%5Cfrac%7B358.3%7D%7B4+%5Cpi+%7D+%7D+%3D+%5Csqrt%5B3%5D%7B+%5Cfrac%7B1074%7D%7B4+%5Cpi+%7D+%7D+%3D++%5Csqrt%5B3%5D%7B+%5Cfrac%7B1074%7D%7B4.3%2C14%7D+%7D+%3D+%5Csqrt%5B3%5D%7B+%5Cfrac%7B1074%7D%7B12%2C56%7D+%7D+%3D+%5Csqrt%5B3%5D%7B85%2C51%7D+%3D+4%2C41+cm)
onde r - raio
Assim
Respondido por
1
Ve = 4.pi.r³/3
4.pi.r³/3 = 358
4.pi.r³ = 358 . 3
4.pi.r³ = 1074
4.3,14.r³ = 1074
12,56.r³ = 1074
r³ = 1074/12,56
r³ = 107400/1256
r³ ~ 85,51
r ~ 4,41 cm
4.pi.r³/3 = 358
4.pi.r³ = 358 . 3
4.pi.r³ = 1074
4.3,14.r³ = 1074
12,56.r³ = 1074
r³ = 1074/12,56
r³ = 107400/1256
r³ ~ 85,51
r ~ 4,41 cm
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