Afrench fry stand at the fair serves their fries in paper cones. the cones have a radius of 22 inches and a height of 66 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 44 inches. what will the height of the new cones be?

The height of the new cones will be 16.5 inches.

Step-by-step explanation:

We know that,

The volume of a cone is,

Where, r is the radius of the cone,

h is the height of the cone,

In the original cone,

r = 22 inches,

h = 66 inches,

Thus, the volume would be,

Also, for the new cone,

r = 44 inches,

Let H be the height,

So, the volume of the new cone would be,

According to the question,

Hence, the height of the new cones will be 16.5 inches.

they are simplified

step-by-step explanation:

first, let's see what the pattern is.

58 - x = 47

46 - x = 36

x = 9

so this means that the term after 25 is 25 - 9:

the next term in the sequence is 16.