Question

The volume of the sphere is StartFraction 500 Over 3 EndFractionπ cubic units.

A sphere has a radius of x units.


What is the value of x?

Answer 1

Radius of the sphere = 5 units.

Step-by-step explanation:

Here, given:

The volume of the sphere  = cubic units  ... (1)

Also, radius of the sphere  = x  units

Now, VOLUME OF SPHERE  =

So, volume of a sphere with radius x  =

But volume of sphere is given by (1).

Hence, radius of the sphere = 5 units.

Answer 2

Answer:

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Step-by-step explanation:

The volume of the sphere  = (\frac{500}{3})\pi(3500)π cubic units  ... (1)

Also, radius of the sphere  = x  units

Now, VOLUME OF SPHERE  = (\frac{4}{3}) \pi r^3(34)πr3

So, volume of a sphere with radius x  = (\frac{4}{3}) \pi (x)^3(34)π(x)3

But volume of sphere is given by (1).

Hence, radius of the sphere = 5 units.

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