The volume of a sphere is 32
3
π cubic centimeters. What is the radius?

Sphere V = 4
3
πr3

1. Substitute 32
3
into the volume formula for V:    32
3
π = 4
3
πr3

2. Multiply both sides of the equation by 3
4
:        8π = πr3

3. Divide both sides of the equation by π.         8 = r3

4. Take the cube root of both sides:          3√8 = r

The radius of the sphere is
cm.

Respuesta :

Answer:

The radius of sphere is 2 cm.

Step-by-step explanation:

Given that,

Volume of a sphere is, [tex]V=\dfrac{32}{3}\pi cm^3[/tex]

We need to find the radius of sphere. The formula of volume of sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

r is radius of sphere

Substitute the value of V in above formula. So,

[tex]\dfrac{32}{3}\pi =\dfrac{4}{3}\pi r^3\\\\32=4r^3\\\\r^3=8\\\\r=2\ cm[/tex]

So, the radius of sphere is 2 cm.

Answer:

2 I took the assignment

Step-by-step explanation:

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