Question

. Ice cream scoops come in different sizes and have different diameters. An ice cream shop is trying to

figure out what size scoop would be the best fit for their waffle cones. They need to determine if the #12
scoop with 2.5 inch diameter or the #6 scoop with 3 inch diameter will fit best. Unfortunately, they are
waiting on their order of waffle cones so they can’t measure the diameter, but they do know the cones
have a height of 4 inches and volume of 3 cubic inches. What is the diameter of the cone? Which
size scoop should they buy for the best fit?

Answer 1

Q1. d ≈ 1.94

Q2. 1.94 inches

Explanation:

If you want to make a cone out of paper, you need to know how big to cut the circle. You can use this formula to find the diameter of the circle:

d = 2√[(3V)/(πh)]

where d is the diameter, V is the volume, and h is the height of the cone.

Let's say you have a volume of 3 cubic inches and a height of 4 inches. Then you can plug in the numbers and get:

d = 2√[(3×3)/(π×4)]

d ≈ 1.94

So you need to cut a circle with a diameter of about 1.94 inches.

But wait, there's more! You can also use this formula to find out which ice cream scoop will fit best in your cone. The #12 scoop has a diameter of 2.5 inches, and the #6 scoop has a diameter of 3 inches. Both of them are too big for your cone! You need a smaller scoop that has a diameter of less than or equal to 1.94 inches. Otherwise, you'll have a mess on your hands!