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Alex Ar [27]
3 years ago
5

Which value of b solves the equation? b^-3 = 1/216 A. –6 B. 6 C. 36 D. 72

Mathematics
2 answers:
viktelen [127]3 years ago
8 0

Answer:

<h2>B. 6</h2>

Step-by-step explanation:

\text{use}\\\\a^{-n}=\dfrac{1}{a^n}\\\\==========================\\\\b^{-3}=\dfrac{1}{216}\\\\\dfrac{1}{b^3}=\dfrac{1}{216}\qquad\text{inverse both sides}\\\\b^2=216\to b=\sqrt[3]{216}\\\\b=6\ \text{because}\ 6^3=216

KatRina [158]3 years ago
4 0
The answer to the question

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Answer:

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Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

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From here, we can cancel out the values of π and r³:

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<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

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