Question

If the volume of a sphere is 36 cubic units, what is the radius? 3 units 4√3 units 9 units

Answer 1

Before they deleted my answer, I was correct. remember to correctly round if you have a different but similar question.

Explanation:

Answer 2

radius = 2.05 units

Explanation:

The volume of a sphere is given by the formula:
`V=(4)/(3) \pi r^3`. 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.

`36=(4)/(3) \pi r^3`

Divide both sides by
`(4)/(3)`. To do this, multiply 36 by the reciprocal of
`(4)/(3)`.

• 
  `36* (3)/(4)`
• 
  `36* (3)/(4) =(108)/(4) \rightarrow 27`

Simplify and rewrite the equation.

`27=\pi r^3`

Now divide both sides of the equation by pi (
`\pi`).

• 
  `27/\pi=8.59436692696`

Rewrite the equation.

`8.59436692696=r^3`

To isolate and solve for r, cube root both sides of the equation.

• 
  `r=\sqrt[3]{8.59436692696}`
• 
  `r=2.04835218977`

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.