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Feliz [49]
3 years ago
15

How to find the volume of a quarter-sphere?

Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.

The volume of a sphere is computed as

\dfrac{4}{3} \pi r^3

So, the volume of a quarter-sphere is

\dfrac{1}{4}\cdot \dfrac{4}{3} \pi r^3 = \dfrac{1}{3} \pi r^3

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To solve a system of inequalities so you can graph it how do you change these two equations into something like the two that are
Zigmanuir [339]
Explanation

Problem #2

We must find the solution to the following system of inequalities:

\begin{gathered} 3x-2y\leq4, \\ x+3y\leq6. \end{gathered}

(1) We solve for y the first inequality:

-2y\leq4-3x.

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

\begin{gathered} 2y\ge-4+3x, \\ y\ge\frac{3}{2}x-2. \end{gathered}

The solution to this inequality is the set of all the points (x, y) over the line:

y=\frac{3}{2}x-2.

This line has:

• slope m = 3/2,

,

• y-intercept b = -2.

(2) We solve for y the second inequality:

\begin{gathered} x+3y\leq6, \\ 3y\leq6-x, \\ y\leq-\frac{1}{3}x+2. \end{gathered}

The solution to this inequality is the set of all the points (x, y) below the line:

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This line has:

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(3) Plotting the lines of points (1) and (2), and painting the region:

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Answer

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8 0
1 year ago
I will mark as brainiest for correct answer! Please help me! Thank you
Dmitrij [34]
For the division part:
\frac{5-4}{4-3 }= \frac{1}{1 }=1

But I think your question differs than this..

Am I right?

as your options do not include 1
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Answer:

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