To solve for the radius of the sphere using the formula: V=pi r^2
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)
Responses
True; this process would solve for the radius given the volume using the correct inverse operations.
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
3 answers
False; the steps provided do not result in finding the radius of the sphere using the formula V=πr^2. The correct process would involve taking the square root of both sides after performing the other operations.
are you sure
I apologize for the error in my previous response. Let me reevaluate the steps for solving for the radius of the sphere using the formula V=πr^2.
1st step: Multiply both sides by 3
3V = 3πr^2
2nd step: Divide both sides by 4
3V/4 = (3πr^2)/4
3rd step: Divide both sides by π
(3V/4) / π = r^2
4th step: Take the square root of both sides
r = sqrt((3V/4) / π)
Therefore, the correct steps involve taking the square root after performing the other operations.
1st step: Multiply both sides by 3
3V = 3πr^2
2nd step: Divide both sides by 4
3V/4 = (3πr^2)/4
3rd step: Divide both sides by π
(3V/4) / π = r^2
4th step: Take the square root of both sides
r = sqrt((3V/4) / π)
Therefore, the correct steps involve taking the square root after performing the other operations.
1 answer