To find the surface area of the tank, we need to first calculate the area of the two circular ends and the area of the curved side.
1. Area of each circular end:
The circular end has a radius of 5ft, so the area of one circular end is given by the formula A = πr²:
Area of one circular end = 3.14 * (5ft)² = 3.14 * 25ft² = 78.5ft²
Since there are two circular ends, the total area of both ends is 2 * 78.5ft² = 157ft².
2. Area of the curved side:
The height of the tank is 10ft, and the circumference of the base (the circular end) can be calculated using the formula C = 2πr:
Circumference of the base = 2 * 3.14 * 5ft = 31.4ft
The curved side of the tank is essentially a rectangle when laid flat, with a height of 10ft and a length equal to the circumference of the base.
The area of the curved side is therefore A = length * height = 31.4ft * 10ft = 314ft².
3. Total surface area of the tank:
Adding the area of the two circular ends and the curved side:
Total surface area = 157ft² + 314ft² = 471ft².
To put two coats of paint on the entire surface of the tank, we need to double the surface area:
Total surface area with two coats = 471ft² * 2 = 942ft².
Since one gallon of paint covers 110ft², the number of full gallons needed to put two coats of paint on the entire surface of the tank is:
Number of gallons = Total surface area with two coats / Coverage per gallon = 942ft² / 110ft² per gallon = 8.56 gallons.
Therefore, we would need approximately 8.56 gallons of paint.
Painting A cylindrical tank has the dimensions shown. Use a formula to find the surface area of the tank. If one gallon of paint covers 110ft squared
how many full gallons would you need to put two coats of paint on the entire surface of the tank? Use 3.14 for pie
1 answer
1 answer