Question

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

Answer 1

the value of x is 5 units

Answer 2

Given

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

Find the value of x .

To proof

FORMULA

`volume\ of\ sphere = (4)/(3)\pi r^(3)`

where r is the radius of sphere.

As given in question

`volume of sphere = (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

`(4)/(3)\pi x^(3)=(500)/(3)\pi`

`x^(3)=(500* 3)/(3* 4)`

`x^(3)=(500)/(4)`

`x^(3)=125`

`x = \sqrt[3]{125}`

x =5

Thus the value of 5 units.

Hence proved