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

Solution:

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

We have to find the value of x.

From the given figure,

x indicates the radius of the sphere.

We know that,

Volume of sphere = (4/3)πr³

Now, 500/3 π = (4/3)πr³

Cancelling out common terms,

500 = 4r³

r³ = 500/4

r³ = 125

Taking cube root,

r = 5 units

Therefore, the value of x is 5 units.

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

Summary:

The volume of the sphere is 500/3 π cubic units. The value of x is 5 units.