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Nastasia [14]
3 years ago
8

Perform the indicated operation and simplify

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

idk

Step-by-step explanation:

everyone sike no one knows that

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Answer:

16.75 cubic inches

Step-by-step explanation:

<u>Key skills needed: Volume of a cylinder, Volume of a sphere</u>

1) To get the answer to this problem, you need to understand two formulas: The volume of a sphere, and The volume of a cylinder.

  • Volume of a sphere --> V= \frac{4}{3}\pi r^3 (V = volume, and r = radius)
  • Volume of a cylinder --> V = \pi r^2h (V = volume, r = radius,h = height)

These formulas will be needed.

2) In order to solve this problem, we need to find the volumes of both, and the subtract them from one another to find the difference.

3) Let's start by finding the volumes:

  • Cylinder --> V = \pi r^2h            

We have the radius (which is 2) and the height (which is 4)

  • This means we can solve --> V = \pi(2^2)(4)
  • 2 squared is 4, so then it would be --> V = \pi (4)(4)
  • 4 times 4 is 16 so V = 16\pi ---> 16 pi is the same as 50.24 cubic inches (if you use 3.14 as pi).
  • Next is the Sphere--> V = \frac{4}{3}\pi r^3

We have the radius (which is 2) so we can solve

  • V = \frac{4}{3}\pi  (2^3)
  • 2 cubed is 8, so it would be --> V = \frac{4}{3}\pi (8)
  • 8 times 4/3 is 32/3 so --> V = \frac{32}{3}\pi --> which is Around 33.51 cubic  inches

4) Now we have to find the difference, so we do:  

  • 50.24 - 33.51 = 16.74

This means your answer would be 16.75 as that is the closest one.

<em>Hope you understood and have a nice day!! :D</em>

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y = w/4x+1

Step-by-step explanation:

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a local manufacturer produced a study in which they randomly selected 100 people from the community and asked if they preferred
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Adding 56 and 24, one can see that only 80 people responded. Since not all of the random sampling answered, that causes an error. 
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