A gas storage tank is in the shape of a right circular cylinder that has a radius of the base of 2ft and a height of 3ft. The farmer wants to paint the tank including both bases but only has 1 gallon of paint. If 1 gallon of paint will cover 162 square feet, will the farmer have enough paint to complete the job?
Accepted Solution
A:
Answer:Yes, the farmer have enough paint to complete the job.Step-by-step explanation:It is given that a gas storage tank is in the shape of a right circular cylinder.The radius of the base is 2 ft and the height of cylinder is 3 ft. The total surface area of a cylinder is[tex]S=2\pi rh+2\pi r^2[/tex]Total surface area of gas storage tank is[tex]S=2\pi (2)(3)+2\pi (2)^2[/tex][tex]S=12\pi+8\pi[/tex][tex]S=20\pi[/tex][tex]S=62.8318530718[/tex][tex]S\approx 62.83[/tex]The total surface area of gas storage tank is 62.83 square feet.The farmer has 1 gallon of paint and 1 gallon of paint will cover 162 square feet.Since 62.83<162, therefore 1 gallon of paint is enough to paint the gas storage.Hence the required statement is Yes, the farmer have enough paint to complete the job.