Up Up and Away Jim Smith. Hot Air Balloon Surface area Volume.
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Transcript of Up Up and Away Jim Smith. Hot Air Balloon Surface area Volume.
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