Solve the equation x=5/3 pi r ^3

A.
B
C
D?

B (3x / ( 5pi)) ^ 1/3 =  r

Step-by-step explanation:

x=5/3 pi r ^3

Multiply each side by 3/5

3/5 x= pi r ^3

Divide each side by pi

3x / ( 5pi) = pi r^3 /pi

3x / ( 5pi) =  r^3

Take the cube root of each side

(3x / ( 5pi)) ^ 1/3 =  r^3 ^ 1/3

(3x / ( 5pi)) ^ 1/3 =  r

Here, we just have to express r in terms of x when we are provided with the relation between x and r. We have to flip and sent it to the Right hand side.

We have,

Solving it further,

Taking 5/3 to the other side by dividing it,

Now, taking π to the other side by dividing it,

Cube rooting LHS to get r

Flipping it,

So, the correct option:

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