The volume of the sphere is π cubic units. what is the value of x? 4 units 5 units 8 units 10 units


Asked by maham237 @ in Mathematics viewed by 352 People


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

Answered by maham237 @



Given

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

Find the value of x .

To proof

FORMULA

volume\ of\ sphere = \frac{4}{3}\pi r^{3}

where r is the radius of sphere.

As given in question

volume of sphere = \frac{500}{3} \pi\ cubic\ units

now as shown in the diagram

The radius of the sphere is x.

put all the values in the above equation

we get

\frac{4}{3}\pi x^{3}=\frac{500}{3}\pi

x^{3}=\frac{500\times 3}{3\times 4}

x^{3}=\frac{500}{4}

x^{3}=125

x = \sqrt[3]{125}

x =5

Thus the value of 5 units.

Hence proved









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