Task 3 - Balloons in a Pyramid

For the anniversary celebration, there will be helium-filled balloons for the children. They have purchased spherical balloons that have a 9 in. diameter. When filled with helium, the balloons should continue to fly for most of the day. The committee estimates that they will need 1 500 balloons. 

Part 1: 
They plan to purchase the cylinders of helium and fill the balloons themselves. 
They have two choices of cylinders:
●	a medium cylinder which contains 80 cu. ft. of helium
●	a large cylinder which contains 100 cu. ft. of helium

The committee does not want to purchase too much extra helium, but they need to have enough to fill all 1500 balloons. 
●	How many balloons can be filled using a medium cylinder?
●	How many balloons can be filled using a large cylinder?
●	How much helium is needed to fill all the balloons?
●	Advise the committee of which cylinder(s) to purchase and how many of each they should order. (Ignore cost.) 

Outline your plan: 

Complete your calculations: 

Advise the committee:

Part 2: 
The pathways in the park will be lined with vendors (a person or company offering something for sale) tables. Each table will have a shade tent that is mounted on poles. The canopy of the structure is open to allow for storage of the inflated balloons until they are distributed to the children.

Each shade tent has a canopy mounted on poles. The canopy is a square-based pyramid with an open base. There is a 4 inch wide band attached to the open base of the pyramid. 

1.	What is the maximum number of spherical balloons that can be held within the canopy?
2.	Advise the committee of the minimum number of shade tents that must be set up to hold all the balloons so that they don't fly away?

Outline your plan:

Complete the calculations: 

Advise the committee: