Answer:
the square root of 3 is irrational.
about 1.73
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:
Hypoglycemia would sign at 1,000
Step-by-step explanation:
We know that a short-acting insulin (Regular insulin) work at last for 2 to 3 hours
Also intermediate acting insulin (NPH) insulin crests in 4 to 10 hours.
So, nurse assess this patient for signs of hypoglycemia 1000 to 1600
Answer:
x=19
Step-by-step explanation:
The consecutive integers will be x, x+1 and x+2 since consecutive integers have a pattern.
So, the equation is x+x+1+x+2=60
Solve:
x+x+1+x+2=60
3x+3=60
Subtract 3 on both sides:
3x+3-3=60-3
3x=57
Divide by 3
3x/3=57/3
x=19
Awnser:
You can fit up to 64 cubes in the rectangular prism.
Step-by-step explanation:
Well, we know that each side measures 4 inch each.
So, 4(L) x 4(W) x 4(H) = 64.
