If 1 gallon of paint covers 400 square feet, about how many gallons of paint are needed to paint the outside of a spherical tank of diameter 20 feet?

Respuesta :

1 gallon of paint covers area = 400 square feet

Diameter of spherical tank = 20 feet

Radius = [tex]\frac{20}{2}=10[/tex]

Surface area of sphere is = [tex]4\pi r^{2}[/tex]

SA= [tex]4\times3.14\times10\times10[/tex] = 1256 square feet

Now,  according to the question, 400 sq feet area is covered in 1 gallon

So, 1256 square feet will be covered in =

[tex]\frac{1256}{400}=3.14[/tex]

Hence, 3.14 gallons of paint is required to paint the outside of the spherical tank.