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 165.2
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.
plato is 165.2 ;
It takes approximately 684 spheres the size of Pluto to equal the volume of Earth. This is calculated by finding the volumes of both spheres and dividing the volume of Earth by the volume of Pluto. Using the formula for the volume of a sphere, we find that the required number is 684 when rounded up.
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Jawab:Penjelasan dengan langkah-langkah:Pernyataan yang benar adalah x = -2 dan y = 1.Penjelasan:Menghitung x:x = a + bx = 3 + (-5)x = -2Menghitung y:y = (a * 2) + by = (3 * 2) + (-5)y = 6 - 5y = 1Jadi, x = -2 dan y = 1.