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Andre45 [30]
3 years ago
5

The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of

Pluto does it take to have the same volume as Earth?
Mathematics
2 answers:
Alenkinab [10]3 years ago
8 0

Answer:

plato is 165.2

Step-by-step explanation:

antoniya [11.8K]3 years ago
4 0
The volume of a sphere is (4/3) (pi) (radius cubed).

The volume of one sphere divided by the volume of another one is

 (4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³

Divide top and bottom by (4/3) (pi) and you have     (radius-A)³ / (radius-B)³
and that's exactly the same as
                                                         ( radius-A / radius-B )  cubed.

I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.

Earth radius = 6,371 km
Pluto radius = 1,161 km

Ratio of their radii = (6,371 km) / (1,161 km)

Ratio of their volumes =  ( 6,371 / 1,161 ) cubed = about <u>165.2</u>

Note: 
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
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y=-5.6

Step-by-step explanation:

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2 years ago
Please help! Thank you
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Answer:

B. -3

Step-by-step explanation:

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Maksim231197 [3]
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Ilia_Sergeevich [38]

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Step-by-step explanation:

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7 0
3 years ago
A car run 3/4 mile per minute another car can run 4/5 mile per minute.what is the difference in speed in miles per hour?
dybincka [34]

Answer:

3 miles per hour

Step-by-step explanation:

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The car going 4/5 miles per minute is going 1/20 miles per minute faster than the car going 3/4 miles per minute.

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3 0
3 years ago
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