Question

The formula for the volume of a sphere is mc012-1.jpg. What is the formula solved for r?

Answer 1

Answer: The formula to calculate the radius of a sphere if we know the volume is: Cubic root [3V/(4∏)].

Solution:

The formula for the volume (V) of a sphere is:

V=(4∏/3) r^3

Solving for r: Multiplying both sides of the equation by 3/(4∏):

3/(4∏) V = 3/(4∏) [(4∏/3) r^3]

3V/(4∏) = r^3

Cubic root both sides of the equation (raising to the power 1/3):

Cubic root [3V/(4∏)] =Cubic root (r^3)

Cubic root [3V/(4∏)] = r

r = Cubic root [3V/(4∏)]