JayceonJ350333 JayceonJ350333
  • 25-10-2022
  • Mathematics
contestada

una lata de refresco,con forma de cilindro,contiene 33cl.calcular el radio de la lata sabiendo que su altura es de 15cm

Respuesta :

ItzayanaN318721 ItzayanaN318721
  • 25-10-2022

El volume del cilindro es igual a

[tex]V=\pi\cdot r^2\cdot h[/tex]

Recuerda que

1 cl=10 cm3

tenemos

V=33 cl=33*10=330 cm3

h=15 cm

sustituye

[tex]330=\pi\cdot r^2\cdot15[/tex]

asumir

pi=3.14

[tex]\begin{gathered} 330=3.14\cdot r^2\cdot15 \\ r^2=\frac{330}{(3.14\cdot15)} \\ r=2.65\text{ cm} \end{gathered}[/tex]

el radio es 2.65 cm

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