intermediary Geometry aid » hard Geometry » Spheres » exactly how to discover the radius that a ball

 If the volume of a sphere is

*
, what is the approximate length of its diameter?

 

*


*


*


*


*


Explanation:

The correct answer is 6.12 ft.

You are watching: How to find radius of a sphere with volume

 

Plug the worth of

*
 into the equation so that

*

Multiply both sides by 3 come get 

*

Then division both sides by

*
 to get

*
 

Then take the third root that both political parties to get 3.06 ft because that the radius. Finally, you have to multiply by 2 top top both sides to gain the diameter. Thus

*


Explanation:

The formula for the volume of a sphere is: 

*

The only given information in the trouble is the sphere"s final volume. If the volume is

*
, the formula for volume deserve to be used to calculate the sphere"s radius.

In this case, 

*
, the radius, is the only unknown variable that demands to be solved for. 

*

*

*

*

*

*


Explanation:

The just information provided is the area the

*

This difficulty may it is in approached "backwards," wherein the area formula because that a sphere deserve to be offered to fix for the radius. This is feasible because the formula for area is 

*
 , where
*
 (the radius) is what we"re feather for. After
*
 is substituted in for the area, the score is to solve because that
*
 by getting it by itself on one side of the amounts to sign. 

*

*

*

*
 


Explanation:

Write the formula because that the volume the a sphere:

*

Plug in the provided volume and also solve for the radius,

*
.

*

Start by multiplying every side that the equation by 

*
:

*

*

Now, divide each next of the equation by 

*
:

*

*

Finally, take it the cubed root of every side of the equation:

*


Explanation:

The equation for the volume of a sphere is:

*
, where 
*
 is the size of the sphere"s radius.

Plug in the offered volume and also solve for 

*
 to calculate the sphere"s radius:

*

*

*

 


Explanation:

The formula because that the volume the a sphere is:

*
, where 
*
 is the sphere"s radius.

Plug in the volume and solve because that

*
, the sphere"s radius:

*

*

*

*


Explanation:

The formula for the surface area the a round is:

*

Substitute the offered value for the sphere"s surface area into the equation and also solve because that

*
 to find the radius:

*

*

*


Explanation:

The surface area formula because that a round is:

*
, where 
*
 is the sphere"s radius.

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Substitute the provided value because that the sphere"s area right into the equation and solve for

*
 to uncover the radius:

*

*

*


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