PSAT Math : How to find the diameter of a sphere

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #191 : Geometry

If a sphere has an approximate volume of , then what is the approximate diameter of this sphere?

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a sphere is

 

Therefore,

  

 Dividing both sides by , leaves us with . Taking the cube root, we find , meaning our diameter .

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