Find the total volume of ice cream if the ice cream completely fills the cone shown and then creates a hemisphere on top of the cone, where the cone has a diameter of 6 cm and a height of 12 cm. Round your final answer to the nearest tenth of a cubic centimeter.

https://www.chino.k12.ca.us/cms/lib/CA01902308/Centricity/Domain/4926/12-5_Volumes_of_Pyramids_and_Cones.pdf

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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.

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