The volume of a sphere is 32 3 π cubic centimeters. What is the radius? Sphere V = 4 3 πr3 1

Question

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.

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Adalyn 11 hours 2021-11-22T08:52:55+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-22T08:53:58+00:00

    Answer:

    2 I took the assignment

    Step-by-step explanation:

    0
    2021-11-22T08:54:01+00:00

    Answer:

    The radius of sphere is 2 cm.

    Step-by-step explanation:

    Given that,

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

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

    V=\dfrac{4}{3}\pi r^3

    r is radius of sphere

    Substitute the value of V in above formula. So,

    \dfrac{32}{3}\pi =\dfrac{4}{3}\pi r^3\\\\32=4r^3\\\\r^3=8\\\\r=2\ cm

    So, the radius of sphere is 2 cm.

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