Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 97 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?

--- Radius

--- Height

Step-by-step explanation:

Given

Shape: Cone

Required

Determine different possible values of radius and height

The volume (V) of a cone is calculated as:

Substitute 97 for V

Multiply both sides by 3

Take as 3.14

Divide both sides by 3.14

From the question, we understand that:

So, we have to assume a value for either r or h and then solve for the other variable.

Let

So, We have:

Make h the subject

--- approximated

Note that there are other different possible values of h that is true for

where

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.