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sergiy2304 [10]
3 years ago
5

The radius of a sphere whose volume is 12 π cubic cm is??

Mathematics
2 answers:
dimaraw [331]3 years ago
8 0

Given a radius r, the volume of a sphere is given by

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

We can solve this formula for the radius, given the volume:

r=\sqrt[3]{\dfrac{3V}{4\pi}}

We can plug our value for the volume to get the radius:

r=\sqrt[3]{\dfrac{3\cdot 12\pi}{4\pi}}=\sqrt[3]{9}

Fiesta28 [93]3 years ago
7 0

Answer:

\sqrt[3]{9} or approximately 2.08 cm

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

12 pi = 4/3 pi r^3

Divide each side by pi

12 = 4/3 r^3

Multiply each side by 3/4

12 *3/4 = 3/4 * 4/3 r^3

9 = r^3

Take the cube root of each side

9 ^ 1/3 = r^3 ^ 1/3

9 ^ 1/3 = r

The radius is the cube root of 9

or approximately 2.080083823

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