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denis-greek [22]
4 years ago
6

4(-2)² + 8(-2) + 3(-2) + 6 =

Mathematics
1 answer:
Natasha2012 [34]4 years ago
4 0
<span><span><span><span>4<span><span>(<span>−2</span>)</span>2</span></span>+<span><span>(8)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span><span>=
<span><span><span><span><span>(4)</span><span>(4)</span></span>+<span><span>(8)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span></span><span>=
<span><span><span>16+<span><span>(8)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span></span><span>=
<span><span><span>16+<span>−16</span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span></span><span>=<span><span>0+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span></span><span>=<span><span>0+<span>−6</span></span>+6</span></span><span>=
<span><span>−6</span>+6</span></span><span>=
<span>0</span></span>
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Tasya [4]

Answer:

\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3

Step-by-step explanation:

<u>The Volume of a Sphere </u>

The volume of a sphere of radius r is given by:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3

A. )

If the diameter of the sphere is d, the radius is r=d/2. Substituting:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot \left (\frac{d}{2}  \right )^3

Operating

\displaystyle V=\frac{4}{3}\cdot \pi\cdot \frac{d^3}{8}

Simplifying

\displaystyle V=\frac{1}{6}\cdot \pi\cdot d^3

B.)

The diameter of the sphere is 2/3 cm, thus the volume is:

\displaystyle V=\frac{1}{6}\cdot \pi\cdot \left (\frac{2}{3}  \right )^3

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\displaystyle V=\frac{1}{6}\cdot \pi\cdot \frac{8}{27}

\displaystyle V=\frac{8}{27}\frac{1}{6}\cdot \pi

\boxed{\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3}

8 0
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