Question

Mathematics

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

What is the value of x?

4 units

5 units

8 units

10 units

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Best Answer

The value of x is 5 units

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.

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.