Problema Solution
Damien has enough red paint to cover an area of 54 square meters. The surface area of the playground tunnel he must paint has a radius, r, of 5 meters. Find the length of the tunnel Damien can paint. Round your answer to two decimal places, if necessary.
Answer provided by our tutors
We will assume the tunnel is a cylinder with radius r = 5 m and length l.
The formula for surface area of the playground tunnel is:
S = 2πrl
S = 2π*5*l
S = 10πl
And we also know that the area of the tunnel is S = 54 m^2 thus we have:
10πl = 54
π = 3.14
10*3.14*l = 54
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click here to see the equation solved for l
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l = 1.72 m
The length of the tunnel that Damien can paint is 1.72 meters.