Answer:
radius = 2.05 units
Step-by-step explanation:
The volume of a sphere is given by the formula: . In this formula:
- V = volume of the sphere
- r = radius of the sphere
Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.
Substitute 36 for V into the formula and solve for r.
Divide both sides by . To do this, multiply 36 by the reciprocal of
.
Simplify and rewrite the equation.
Now divide both sides of the equation by pi ().
Rewrite the equation.
To isolate and solve for r, cube root both sides of the equation.
The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:
- whole number: 2 units
- tenth: 2.0 units
- hundredth: 2.05 units
- thousandth: 2.048 units
I'll just give the answer rounded to the nearest hundredth as that seems the most popular.
