Let us break the shape into two triangles and solve for the unknowns.
The first triangle is shown below:
We will use the Pythagorean Theorem defined to be:
Therefore, we can relate the sides of the triangles as shown below:
Solving, we have:
Hence, we can have the second triangle to be:
Applying the Pythagorean Theorem, we have:
Solving, we have:
The values of the unknowns are:
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
Total surface area of gas storage tank is
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.