Question

To solve for the radius of the sphere using the formula:

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

(1 point)

True; this process would solve for the radius given the volume using the correct inverse operations.

False; steps 1 - 3 are correct, but step 4 does not give the inverse operation of r^3
Skip to navigation

Answer 1

False. Steps 1–3 are correct, but the inverse of r^3 is the cube root, not dividing by 3.

Starting from V = (4/3)πr^3:
- multiply by 3: 3V = 4πr^3
- divide by 4: 3V/4 = πr^3
- divide by π: 3V/(4π) = r^3
- take the cube root: r = (3V/(4π))^(1/3)