complete question:
The volume of the sphere is 500/3 π cubic units. What is the value of x?
x = radius
Answer:
x = 5 units
Step-by-step explanation:
The volume for a sphere can be represented as follows
volume = 4/3πr³
volume = 500/3 π
x = radius
volume = 4/3πx³
500/3 π = 4/3 × π × x³
multiply both sides by 3/4
500/3 × π × 3/4 = π × x³
125π = πx³
divide both sides by π
x³ = 125π/π
x³ = 125
cube root both sides
x³ = ∛125
x = 5 units
