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3 years ago

The formula for the volume of a sphere is v= 4/3 m^3 what is the formula solved for r ?

Mathematics

1 answer:

Softa [21]3 years ago

4 0

Answer:

r = ∛ ( ---------- )

4π

Step-by-step explanation:

Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction. Also note that this formula MUST include "pi," symbolized by π.

V = (4/3) π r³ This formula does NOT include "m," which is a unit of measurement, not a variable.

Our task is to solve this formula for the radius, r.

Divide both sides by (4/3) π, to isolate r³. This results in:

v (4/3) π r³

------------- = -----------------

(4/3) π (4/3) π

V 3V

Then r³ = -------------- = --------

(4/3) π 4π

and r is found by taking the cube root of the above result:

r = ∛ ( ---------- )

4π

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