Question

Damien has enough red paint to cover an area, of 36 square meters. the surface area of the playground tunnel he must paint has a radius, r, of 3 meters. the formula for surface area is s = 2πrl where l is the length. solve the formula for l and find the length of the tunnel damien can paint

Answer 1

Thank you for posting your question here at brainly. Below is the solution:

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

Answer 2

The answer is 1.91 m

It is given:
S = 2 π r l
S = 36 m²
r = 3 m
l = ?
π = 3.14

So, let's just solve this:
36 = 2 · 3.14 · 3 · l
36 = 18.84 · l
⇒ l = 36 ÷ 18.84
⇒ l ≈ 1.91 m