Up Up and Away

Jim Smith

Hot Air Balloon

• Surface area• Volume

A Hot Air Balloon is a composite of a hemisphere and a truncated cone

Hemisphere Surface Area

• Surface Area Formula• SA = 2πr2

Cone Surface Area

• Surface Area Formula• SA = πrl

Approximate Surface Area of Hot Air Balloon

• Total surface area of hot air balloon = surface area of hemisphere + surface area of cone – vertex tip of cone

Surface Area Summary

• ____ square feet of ___________is needed to make a hot air balloon.

Hemisphere Volume

• Volume Formula• V = ⅔πr3

Cone Volume

• Volume Formula• V = ⅓πr2h

Approximate Volume of Hot Air Balloon

• Total volume of hot air balloon = surface area of hemisphere + surface area of cone – vertex tip of cone