## The volume of a sphere is 1/48 PI cubic meters. What is the length of the sphere’s radius? In your final answer, include all of your calcula

Question

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## Answers ( )

Answer:

1/4 meters

Step-by-step explanation:

The volume of a sphere is π/48 cubic meters

Volume of a Sphere=⁴/₃πr³

Equating the two expressions above

⁴/₃πr³ = π/48

Dividing both sides by π

⁴/₃r³ = 1/48

Divide both sides by 4/3 to isolate r

r³=(1/48) ÷ (4/3)

r³=(1/48) X (3/4)

r³ = 1/64

Taking the cube root of both sides

r = 1/4 meters

The length of the radius is 1/4 meters