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A sphere has a volume of 36 (3.14) cm cube. what is the diameter of the sphere

User Sasori
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Answer:

Diameter = 6 cm

Explanation:

The formula of a volume of a sphere:


V=(4)/(3)\pi R^3

We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:


(4)/(3)\pi R^3=36\pi divide both sides by π


(4)/(3)R^3=36 multiply both sides by 3


4R^3=108 divide both sides by 4


R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm

The diameter D = 2R.

Therefore D = 2(3 cm) = 6cm

User Tricote
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