MATH SOLVE

3 months ago

Q:
# The formula for the volume of a sphere is v= 4/3 m^3 what is the formula solved for r ?

Accepted Solution

A:

Answer: 3Vr = ∛ ( ---------- ) 4πStep-by-step explanation:Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction. Also note that this formula MUST include "pi," symbolized by π.V = (4/3) π r³ This formula does NOT include "m," which is a unit of measurement, not a variable.Our task is to solve this formula for the radius, r.Divide both sides by (4/3) π, to isolate r³. This results in: v (4/3) π r³------------- = ----------------- (4/3) π (4/3) π V 3VThen r³ = -------------- = -------- (4/3) π 4πand r is found by taking the cube root of the above result: 3Vr = ∛ ( ---------- ) 4π