A sphere has volume $36\pi\ cm^{3}$, find the radius of the sphere
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A sphere has volume $36\pi\ cm^{3}$, find the radius of the sphere
Volume of sphere = (4/3) * pi * r^3 = 36 * pi. r^3 = 36 * 3 / 4 = 27. r = 3 cm.
Using the sphere volume formula V = (4/3) pi r cubed, we set the equation to equal the given volume: (4/3) pi r cubed equals 36 pi. Dividing both sides by pi gives (4/3) r cubed equals 36, so r cubed equals 27. Taking the cube root of 27 gives the radius as 3 cm.