Question

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?

Answer 1

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

$S=2\pi rh+2\pi r^2$

Total surface area of gas storage tank is

$S=2\pi (2)(3)+2\pi (2)^2$

$S=12\pi+8\pi$

$S=20\pi$

$S=62.8318530718$

$S\approx 62.83$

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.