Follow the rules for working with measurements. The sides of a cylindrical silo 19 ft in diameter and 33 ft high are to be painted. Each gallon of paint will cover $3\bar00$ ft ². How many gallons of paint will be needed? A) 3.3 gal. B) 160 gal. C) 6.6 gal. D) 26 gal. E) 13 gal.

Question

Quizplus · Accepted Answer

To find the surface area of the cylindrical silo, we need to find the lateral area and the area of the two circular bases.
Lateral area = height x circumference of base = 33 x π x diameter = 33 x π x 19 = 1874.08 ft²
Area of one circular base = (π x radius²) = (π x 9.5²) = 283.53 ft²
Area of two circular bases = 2 x 283.53 = 567.06 ft²
Total surface area = Lateral area + Area of two circular bases = 1874.08 + 567.06 = 2441.14 ft²
To find the number of gallons of paint needed, we divide the total surface area by the area that can be covered by one gallon of paint.
Number of gallons of paint needed = Total surface area ÷ Area covered by one gallon
Number of gallons of paint needed = 2441.14 ÷ 300 = 8.14
Since we cannot buy a fraction of a gallon of paint, we round up to the nearest whole number.
Number of gallons of paint = 9
Therefore, the correct answer is choice C, 6.6 gal.

Follow the Rules for Working with Measurements 30ˉ03\bar0030ˉ0 Ft 2

Follow the Rules for Working with Measurements $3\bar00$ Ft ²