Question
A cylindrical tank has a radius of 7.5 feet in a altitude of 12 feet if a gallon of paint will cover 120 feet^2 Of surface how much paint is needed to put two coats of paint on the entire surface of the tank
Answers
GPT 3.5
First, we need to calculate the surface area of the tank. The total surface area of a cylinder can be calculated using the formula:
SA = 2πr(r + h)
Where:
SA = Surface Area
r = radius
h = height
Plugging in the values:
SA = 2π(7.5)(7.5 + 12)
SA = 2π(7.5)(19.5)
SA = 2π(146.25)
SA = 292.5π
SA ≈ 918.50 ft^2
Since we need to apply two coats of paint, the total surface area to be covered is:
2 x 918.50 = 1837 ft^2
Since 1 gallon of paint covers 120 ft^2 of surface, we can calculate the total amount of paint needed as:
1837 ft^2 ÷ 120 = 15.31 gallons
Therefore, approximately 15.31 gallons of paint is needed to apply two coats of paint on the entire surface of the tank.
SA = 2πr(r + h)
Where:
SA = Surface Area
r = radius
h = height
Plugging in the values:
SA = 2π(7.5)(7.5 + 12)
SA = 2π(7.5)(19.5)
SA = 2π(146.25)
SA = 292.5π
SA ≈ 918.50 ft^2
Since we need to apply two coats of paint, the total surface area to be covered is:
2 x 918.50 = 1837 ft^2
Since 1 gallon of paint covers 120 ft^2 of surface, we can calculate the total amount of paint needed as:
1837 ft^2 ÷ 120 = 15.31 gallons
Therefore, approximately 15.31 gallons of paint is needed to apply two coats of paint on the entire surface of the tank.