A french fry stand at the fair serves their tries in paper cones. The cones have a radius of 2 inches and a height of 6 inches. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of 4 inches. What will the height of the new cones be?

1.5 inch

Step-by-step explanation:

The existing cones have a radius of 2 inches and a height of 6 inches.

Since the new cones is to have the same volume as the existing cones, we determine first the volume of the existing cone.

Volume of a Cone =

For the existing cone, Radius, r =2 inches, Height, h= 6 inches

Volume of the existing cone = cubic inch

Recall, Volume of the new cones = Volume of the Existing Cone

Radius, r of the new cone = 4 inches

Volume of the new cones=  

Dividing both sides by

To solve for the height, h, multiply both sides by

The height of the new cone will be 1.5 inch.

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:

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%