mullinsjoy
Answered

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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 diameter 20 feet

Sagot :

rabinshrestha41
Given:
Diameter if the spherical tank = 20 ft.
Now,
We know,
radius = diameter / 2
          = 20 / 2
          = 10 ft.
Now, 
The area of the spherical tank = [tex]4 \pi r^{2} [/tex]
        
                                            = [tex]4 \pi (10)^{2} [/tex]

                                            = [tex]4 * \pi *100[/tex]

                                            = [tex]1256.637061[/tex]
 
                                            = [tex]1256.64~ft^2-->rounded [/tex]  

Now,
According to the question,
400 ft² needs 1 gallon of paint
1 ft² needs (1 / 400) gallon of paint
1256.64 ft² needs (1 / 400) * 1256.64 gallon of paint
                        = 3.1416 gallon of paint
                        = 3.14 gallon of paint --------------> rounded

So, we need 3.14 gallon of paint


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