The volume of the sphere is 500/3 π cubic units. What is the value of x? 4 units 5 units 8 units 10 units

• nyasiagraham: the value of x is 5 units
• JackelineCasarez:

  Given

  volume of the sphere is 500/3 π cubic units.

  Find the value of x .

  To proof

  FORMULA

  [tex]volume\ of\ sphere = \frac{4}{3}\pi r^{3}[/tex]

  where r is the radius of sphere.

  As given in question

  [tex]volume of sphere = \frac{500}{3} \pi\ cubic\ units[/tex]

  now as shown in the diagram

  The  radius of the sphere is x.

  put all the values in the above equation

  we get

  [tex]\frac{4}{3}\pi x^{3}=\frac{500}{3}\pi[/tex]

  [tex]x^{3}=\frac{500\times 3}{3\times 4}[/tex]

  [tex]x^{3}=\frac{500}{4}[/tex]

  [tex]x^{3}=125[/tex]

  [tex]x = \sqrt[3]{125}[/tex]

  x =5

  Thus the value of 5 units.

  Hence proved