Question To solve for the radius of the sphere using the formula v=4/3(pi)r^3: 1st step: Multiply both sides by 3 2nd step: Divide both sides by 4 3rd step: Divide both sides by π 4th step: Divide both sides by 3. is this true or false?

1 answer

False

To solve for the radius of the sphere using the formula v=4/3(pi)r^3, you need to isolate the variable r by following these steps:

1st step: Multiply both sides by 3
3v = 4πr^3

2nd step: Divide both sides by 4π
3v / 4π = r^3

3rd step: Take the cube root of both sides
(3v / 4π)^(1/3) = r

Therefore, the correct steps to solve for the radius of the sphere are to multiply by 3, divide by 4π, and take the cube root of the result, not to also divide by 3 in the final step.
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