Answer:

Step-by-step explanation:
First find the midpoint of the segment from (2, -6) to (-4, -16)
((2 - 4)/2, (-6 - 16)/2)
(-2/2, -22/2)
(-1, -11) is the midpoint and is the center of the circle
Now find the distance between the 2 given points and divide by 2 to get the radius of the circle
d = 
= 
= 
= 
r =
/2
= 136/4 = 34
Equation of circle with center at (-1, -11) and radius =
is

The equation is saying that -3x+10=5x-8. Once you get all the same terms on one side, you get 18=8x. That would end up being a decimal number, instead of a whole number. The x values would either have to be -4x or 6x in order to make the problem equal
Volume=(height)(pi)(radius^2)
Volume=(8)(3.141592)(2^2)
V=(8)(4)(3.141592)
V=(32)(3.141592)
V=100.530944