A snack stand sells popcorn in two containers. The first container is a cylindrical tub that has a diameter of 4 inches and a height of 4 inches and costs $5.50. The second container is a cone that has a diameter of 6 inches and a height of 6 inches and costs $4.50. Which container is a better value? Use 3.14 for π in your calculations.

Respuesta :

The container that is a better value is the container that has the largest volume for smaller price which is the cone.

Volume of a cylinder

volume of cylinder = πr²h

where

  • r = radius
  • h = height

Therefore,

radius = 4 / 2 = 2 inches

h = 4 inches

volume of a cylinder = 3.14 × 2² × 4

volume of a cylinder =  3.14 × 4 × 4

volume of a cylinder =  3.14 × 16

volume of a cylinder =  50.24 inches³

Volume of a cone

volume of a cone = 1 / 3 πr²h

where

  • r = radius
  • h = height

Therefore,

r = 6 / 2 = 3 inches

h = 6 inches

volume of the cone = 1 / 3 × 3.14 × 3² × 6

volume of the cone = 1 / 3 × 3.14 × 9 × 6

volume of the cone = 169.56 / 3

volume of the cone = 56.52 inches³

Therefore, the cone is the better value because it cost less for more volume.

learn more on volume here:https://brainly.com/question/23919113

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Answer:

The cone is a better value because it has a larger volume than the cylinder and costs less per cubic inch of popcorn.

Step-by-step explanation: