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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
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