This will take too long to type. I will share some hints that will hopefully help you answer the question in full.
Steps:
1. The volume of the solid that we seek cannot exceed 250 cubic inches. This means we can disregard solids 1 and 2.
2. Search online for the formulas of the remaining solids. You can find the needed formulas at math.com.
Solid 3 is a cylinder.
Solid 4 is a cone.
Solid 5 is a sphere.
3. Use the data given for solids 3 through 5 and plug into the proper formulas to find which answer does not exceed 250 cubic inches.
A. Do all of the solids hold at least 250 cubic inches?
The answer is clearly no. Some are less than 250 and others greater than 250.
B. Which solid is the most cost efficient (the packaging with the smallest materials cost that holds at least 250 cubic inches)?
To answer this question you need to find the volumes of solids 3 through 5 as suggested above.
C. Would the most cost efficient solid work well for packaging? Why or why not?
Again, this CANNOT be answered before finding the volumes of solids 3 through 5.
D. Which solid would you recommend using? Why?
You cannot recommend which solid to use before finding the volumes of solids 3 through 5 and answering all questions that following.
I hope this helps.
