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Marek paints a cylinder to paint 8 square feet he uses 1 quart of paint. The height of the cylinder is 4 feet and the radius is 0.5 feet if he doesn't paint the top of cylinder how much lint will he need?

asked
User Nadean
by
8.7k points

1 Answer

2 votes

Answer:

1.67 quarts

Explanation:

For a cylinder of radius r and height h, the lateral area is ...

LA = 2πrh

The area of one end is ...

A = πr²

Then the total surface area of the side of the cylinder and one end is ...

S = LA +A = πr(2h+r)

For the given dimensions, the area to be painted is ...

S = π(0.5)(2·4 +0.5) = 4.25π ≈ 13.352 . . . . square feet

If one quart paints 8 ft², then the number of quarts of paint needed is ...

(13.352 ft²)/(8 ft²/qt) = 1.67 qt

Marek will need about 1.67 quarts of paint for his cylinder.

answered
User Alexander Ney
by
8.4k points

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