Answer:
Step-by-step explanation:
The volume of a sphere is
We are told our volume is 500pi/3, so we fill that in and solve for r:
Start by multiplying both sides by 3 over 4 pi:
Simplifying gives us
Take the cubed root of both sides to get that
r = 5
Answer:
Step-by-step explanation:
You only need two points on a line to find the equation for that line.
We are going to use 2 points that cross that line or at least come close to. You don't have to use the green points... just any point on the line will work. You might have to approximate a little.
I see ~(67.5,67.5) and ~(64,65).
Now once you have your points, we need to find the slope.
You may use where
are points on the line.
Or you can line up the points vertically and subtract then put 2nd difference over 1st difference.
Like this:
( 64 , 65 )
-( 67.5, 67.5 )
--------------------
-3.5 -2.5
So the slope is -2.5/-3.5=2.5/3.5=25/35=5/7.
Now use point-slope form to find the equation:
where
is the slope and
is a point on the line.
Distribute:
Simplify:
Add 65 on both sides:
Simplify:
