jaylaga47
jaylaga47 jaylaga47
  • 02-04-2020
  • Mathematics
contestada

a sphere has a volume of 1837.35 cm cubed. Whats the radius using 3.14 for pi?

Respuesta :

bayosanuade
bayosanuade bayosanuade
  • 02-04-2020

Answer: 7.6cm

Step-by-step explanation:

The volume of a sphere is given as:

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

since the volume has be given to be 1837.35 and [tex]\pi[/tex] is 3.14 , we will substitute into the formula, that is :

[tex]1837.35=\frac{4}{3}(3.14)r^{3}[/tex]

multiplying through by 3 , we have :

[tex]5512.05= 4(3.14)r^{3}[/tex]

[tex]5512.05=12.56r^{3}[/tex]

divide through by 12.56

[tex]438.8574841=r^{3}[/tex]

find the cube root of both sides :

therefore :

[tex]r = 7.599315982[/tex]

Therefore:

[tex]r[/tex]≈ 7.6cm

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