Question

a french fries stand at a fair serves their fries and paper cones the cone has a radius of 2 in and a height of 6 in and they want a cone at a larger radius of 4 inches what is the new height going to be?​

Answer 1

Answer:

To find the new height of the cone with a radius of 4 inches, we can use the principle that the volume of the cone remains constant when its dimensions change. The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume, r is the radius, and h is the height.

Since the volume remains constant, we can set up the equation:

(1/3)π(2^2)(6) = (1/3)π(4^2)(h)

Solving for h:

4(6) = 16h

24 = 16h

h = 24/16

h = 3/2

So, the new height of the cone with a radius of 4 inches will be 3/2 inches.