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horrorfan [7]
3 years ago
5

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

Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0

Answer:

radius = 2.05 units

Step-by-step explanation:

The volume of a sphere is given by the formula: V=\frac{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=\frac{4}{3} \pi r^3

Divide both sides by \frac{4}{3}. To do this, multiply 36 by the reciprocal of \frac{4}{3}.

  • 36\times \frac{3}{4}
  • 36\times \frac{3}{4} =\frac{108}{4} \rightarrow 27

Simplify and rewrite the equation.

27=\pi r^3

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

  • 27\div\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.

Zarrin [17]3 years ago
3 0
Well the unit would be 2 as a whole number but rounded it would be 2.05.
So the answer might as well be 2.05
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