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Answer to Question #5527 in Geometry for jennifer

Question #5527
Two cylindrical flower pots need to be painted. The flower pots are 1.5 ft in diameter and 2.5 ft high. A one litre can of paint covers 100 ft2. Will one can be enough to paint the two flower pots with two coats of paint?
Expert's answer
Let's make the following denotations:

D = 1.5 ft
H = 2.5 ft
S = 100 ft²

D = 2*R ==> R = 1.5/2 = 0.75 ft - the radius of a pot.

The surface area of a pot is

A = 2*pi*R^2 + 2*pi*R*H = 2*pi*0.75^2 + 2*pi*0.75*2.5 ≈ 15.3154 ft².

So, two flower pots with two coats of paint need

V = (A*2*2)/S = 15.3154*4/100 = 0.6126 litres of paint.

So, one litre of paint is enough to paint the two flower pots with two coats of paint.

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