Question

A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of​ surface, how much paint is needed to put two coats of paint on the entire surface of the​ tank?

Answer 1

Approximately 11 gallons of paint

Explanation:

First we need to calculate the Total surface area of the cylindrical tank as shown;

TSA of the tank = 2πr² + 2πrh

TSA of the tank = 2πr(r+ h) where;

r is the radius of the tank

h is the height

Given

radius = 5.5ft

height = 16ft

Get the surface area;

TSA = 2π(5.5)(5.5+ 16)

TSA = 2π(5.5)(21.5)

TSA = 2π(118.25)

TSA = 2(3.14)(118.25)

TSA = 742.61ft²

If a gallon of paint will cover 130ft^2 of​ surface, then the total number of paint needed will be;

Total number of paint needed = 742.61/130

Total number of paint needed = 5.7

For one coat we will need 5.7gallons of paint

For two coats we will need 2 * 5.7gallons = 11.4

Hence approximately 11 gallons of paints will be needed for the two coats