. You use a circular cylindrical rod of radius a to drill a hole (all the way from top to bottom) through a sphere of radius R = b, with b > a > 0. Suppose the sphere and circular cylindrical rod are both centered at the origin. Let E be the solid ring formed by all the points which are both inside the sphere and outside the cylindrical rod. (a) Find the height h of the solid ring. You should express h in terms of a and b. Please accompany with a labeled sketch. (b) Find the volume of the solid ring, in terms of a and b. (c) Express the volume in terms of the height h of the ring only.

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

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step-by-step explanation:

agree

step-by-step explanation: