1. What effect does the scaling have on the volume? (of a ice cream cone)

2. Suppose one ounce of ice cream costs that consumer $0.50. How does scaling relate to the cost of the cone?

Enlarging the radius of the ice cream cone will result in a volume that is larger by twice the amount of the scale on the radius. For instance, doubling the radius will make the volume 4 times larger.

Enlarging the height of the ice cream cone will result in a volume that is larger by the same amount as the scale on the height. For instance, doubling the height will make the volume 2 times larger.

Going from these answers, the price will change in the same manner as the volume changes. A doubled volume would be a doubled price; a volume 4 times as large will result in a price 4 times as much.

The volume of a cone is given by the formula

V = (1/3) πr²h

If we double the radius, we then have

V = (1/3) π (2r) ²h = (1/3) π (4r²) h = 4 (1/3) πr²h.

Doubling the height instead will give us:

V = (1/3) πr² (2h) = 2 (1/3) πr²h