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The exterior surface of a farm silo needs to be painted. If one gallon of paint covers 224
square feet, what is the minimum number of gallons needed to paint the silo? Keep in mind
that the bottom of the silo is not painted. Use T = 3.14.

The exterior surface of a farm silo needs to be painted If one gallon of paint covers 224 square feet what is the minimum number of gallons needed to paint the class=

Respuesta :

Answer:

12 gallons will be the required number if gallon to be sufficient to paint the silo completely.

Step-by-step explanation:

To know the amount of gallon to be used let's first of all determine the total surface area of the cylinder.

The total surface are of the cylinder will be given by

TSA =2πr(h+r)

r = 10ft

h = 30ft

TSA = 2*3.14*10(30+10)

TSA= 62.8(40)

TSA= 628*4

TSA= 2512ft²

If one gallon covers 224 ft².

The number of gallon required to paint 2512 ft² will be given by

1 gallon = 224 ft²

X gallon = 2512 ft²

X = 2512/224

X = 11.214 gallon

So 12 gallons will be the required number if gallon to be sufficient to paint the silo completely.

But if the bottom will not be painted.

TSA =2πrh +πr²

TSA =( 2*3.14*10*30 ) +3.14+10²

TSA= 1884+314

TSA = 2198 ft²

Number if gallon required will be

2198/224

= 9.8125

That's is approximately 10 gallons

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