Abigail is putting juice into cone-shaped containers to make frozen treats. She has approximately one quarter of a gallon, or 58 cubic inches, of juice to make the treats with. Each

container has a height of 3 inches.

Use the information to complete the table indicating the maximum number of treats that Abigail could make with 58 cubic inches of juice.

Question

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Answer :

akposevictor akposevictor · Answer 1 · 2023-11-06T18:39:15-05:00

Answer/Step-by-step explanation:

Maximum number of treats = amount of juice (58 in³) ÷ volume of cone-shaped container to be used

We are given different containers with the same height of 3 in, but different radius. Volume of a cone is given as ⅓*πr²h

Complete the table as follows:

Maximum no. of treats to be made with container of radius (r) 0.5 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*0.5²*3 = 0.79 in³

Max no. of treats = 58 ÷ 0.79 = 73.4

73 containers can be filled completely. Therefore, maximum number of treats she could make is 73

Maximum no. of treats to be made with container of radius (r) 1 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*1²*3 = 3.14 in³

Max no. of treats = 58 ÷ 3.14 = 18.5

18 containers can be filled completely, therefore, maximum number of treats to be made with this cone is 18 treats.

Maximum no. of treats to be made with container of radius (r) 1.5 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*1.5²*3 = 7.07 in³

Max no. of treats = 58 ÷ 7.07 = 8.2

Max no of treats to be made is 8.