104k views
5 votes
alex needs to buy compressed air to fill 5 empty cylindrical tanks for his store. each tank is 12 feet deep and has a radius of 6 feet what is the volume of compressed air needed?

User Hemantvc
by
7.0k points

2 Answers

1 vote

Answer:

It is 6,782.4 ft^3

Explanation:

User Davidhtien
by
7.7k points
1 vote
Volume of a cylinder = the area of the base x height of the cylinder
Area of base =
\pir^2
A = 6^2(
\pi)
A = 36
\pi
V = 36
\pi x 12
V = 432
\pi

5 cylinders = 5V

5V = 5 x (432
\pi)
5V = 2160
\pi

Final answer: Alex needs to buy 2160
\pi or 6785.84 cubic feet worth of compressed air to fill all of the cylindrical tanks.
User Nirajan Poudel
by
7.8k points