A cylindrical tank has the dimensions shown. Use a formula to find the surface area of the tank. If one gallon of paint covers 140 ft 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 pi.

Radius = 5.5
Base = 16
Solve for ft.

1 answer

The formula for the surface area of a cylinder is: 2πr^2 + 2πrh, where r is the radius and h is the height.

Given:
Radius (r) = 5.5 ft
Height (h) = 16 ft

Surface area = 2(3.14)(5.5)^2 + 2(3.14)(5.5)(16)
Surface area = 2(3.14)(30.25) + 2(3.14)(88)
Surface area = 2(94.99) + 2(277.12)
Surface area = 189.98 + 554.24
Surface area = 744.22 ft^2

To find out how many full gallons of paint would be needed for two coats on the entire surface of the tank:
2 coats = 2 * 744.22 ft^2 = 1488.44 ft^2

Since 1 gallon of paint covers 140 ft^2, the number of gallons needed would be:
1488.44 ft^2 / 140 ft^2/gallon = 10.63 gallons

Therefore, you would need 11 full gallons of paint to put two coats on the entire surface of the tank.