3 years ago

The formula for the volume of a sphere is v=4/3r3 what is the formula solved for r?

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

5 0

Answer:

(3 V/ 4 pi) ^(1/3) = r

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We want to solve for r

Multiply each side by 3/4

3/4 V = 4/3*3/4 pi r^3

3/4 V = pi r^3

Divide each side by pi

3/4 V/ pi = pi/pi r^3

3 V/ 4 pi = r^3

Take the cube root of each side

(3 V/ 4 pi) ^(1/3) = ( r^3) ^1/3

(3 V/ 4 pi) ^(1/3) = r

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