The radius of a sphere whose volume is 12 π cubic cm is??
2 answers:
Given a radius
, the volume of a sphere is given by

We can solve this formula for the radius, given the volume:
![r=\sqrt[3]{\dfrac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B4%5Cpi%7D%7D)
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}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3%5Ccdot%2012%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B9%7D)
Answer:
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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Answer:
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Step-by-step explanation:
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