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Maslowich
3 years ago
10

What is the volume of the figure?

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

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<h3>Answer: Choice A. 82 websites per year</h3>

=============================================================

How I got that answer:

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Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.

----------

You could use the slope formula to get the job done. This is because the slope represents the rise over run

slope = rise/run

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In a more written out way, the steps would be

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Answer:

<em>The options are not visible enough (See Explanation)</em>

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

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Required

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<em>The resulting difference are: 9 || 15 || 21 ||  27</em>

Next; Calculate the difference between the difference of values of y

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