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.
Answer:
<em>P = 2x +2y + 14</em>
Step-by-step explanation:
4.02x9=36.18 that's the answer
knowing the answer is between 3 & 4 plug those as x and see what you get for answers than adjust the number accordingly
3^3+2(3) = 33 so its higher than 3
4^3 + 2(4) = 72 so it is lower than 4
try the middle so try 3.5
3.5^3 + 2(3.5) = 49.875
question states use 1 decimal place so now try 3.6
3.6^3+2(3.6) = 53.856
3.5 is closest
Answer:
y = -1/2x +5
Step-by-step explanation:
Slope-intercept form is ...
y = mx + b
Matching this to the equation you have, you see that ...
m = -2/4 = -1/2
b = 5
The equation is already in slope-intercept form. The fraction that is the slope can be reduced, but that is not essential to the form.
