Transcript Up up and away

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