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 with a diameter of 20 feet?

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 = 4 π r 2 = 4 π ( 10 ) 2
= 4 ∗ π ∗ 100
= 1256.637061
= rounded"> 1256.64 f t 2 − − > ro u n d e d
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

Answered by rabinshrestha41 | 2024-06-10

To paint a spherical tank with a diameter of 20 feet, approximately 3.14 gallons of paint are needed, based on the calculated surface area and paint coverage. The radius of the tank is 10 feet, leading to a surface area of about 1256.64 square feet. Given that 1 gallon covers 400 square feet, this results in about 3.14 gallons of paint needed for the project.
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Answered by rabinshrestha41 | 2024-12-26