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iris [78.8K]
3 years ago
14

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

Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

<h2>Diameter = 6 cm</h2>

Step-by-step explanation:

The formula of a volume of a sphere:

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

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

\dfrac{4}{3}\pi R^3=36\pi      <em>divide both sides by π</em>

\dfrac{4}{3}R^3=36           <em>multiply both sides by 3</em>

4R^3=108            <em>divide both sides by 4</em>

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

The diameter D = 2R.

Therefore D = 2(3 cm) = 6cm

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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