MATH SOLVE

3 months ago

Q:
# Q. You're working for a tourism company that provides travelers with a unique "View from Above"hot air balloon tour. If you have a round hot air balloon that is shaped like a ball and is 50 feet indiameter, how much air does it contain? Use 3.14 for i.

Accepted Solution

A:

Answer:The balloon contain 65416.6 cubic feet.Step-by-step explanation:Given : If you have a round hot air balloon that is shaped like a ball and is 50 feet in diameter.To find : How much air does it contain?Solution :The ball is in spherical shape.The diameter d=50 feet.The radius is [tex]r=\frac{d}{2}[/tex][tex]r=\frac{50}{2}=25\ feet[/tex]The air does it contain is given by the volume of the ball.The volume of the ball is [tex]V=\frac{4}{3}\pi r^3[/tex][tex]V=\frac{4}{3}\times 3.14\times (25)^3[/tex][tex]V=\frac{4}{3}\times 3.14\times 15625[/tex][tex]V=65416.67\ ft^3[/tex]Therefore, the balloon contain 65416.6 cubic feet.