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victus00 [196]
2 years ago
10

Find the radius of this sphere. Then, calculate the volume of a sphere.

Mathematics
1 answer:
Gelneren [198K]2 years ago
8 0

if its diameter is 12, then its radius is half that or 6.

\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies V=\cfrac{4\pi (6)^3}{3}\implies V=\cfrac{4}{3}\cdot \pi \cdot 6^3 \\\\\\ V=\cfrac{864}{3}\cdot \pi \implies V=\cfrac{864}{3}\cdot 3.14\implies V\approx 904.32~cm^3

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Step-by-step explanation:

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Como se representa un numero par​
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Rama09 [41]

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The answer is False,

Step-by-step explanation:

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Find an equation for the line that passes through the points (5.-5) and (-4,-2)
ANEK [815]

Answer:

\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -5) and (-4, -2).

Substiute:

m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

-5=-\dfrac{1}{3}(5)+b

-5=-\dfrac{5}{3}+b               <em>add 5/3 to both sides</em>

-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}

Finally we have the equation of a line in the slope-intercept form:

y=-\dfrac{1}{3}x-\dfrac{10}{3}

Convert to the standard form <em>(Ax + By = C)</em>:

y=-\dfrac{1}{3}x-\dfrac{10}{3}          <em>multiply both sides by 3</em>

3y=-x-10              <em>add x to both sides</em>

x+3y=-10

4 0
3 years ago
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