To cover the path 61 gallon paint is needed.
Explanation:
Given,
The diameter of the pool = 22 yd
The width of the ring shaped path = 5 yd
So,
The diameter of the outer circle = (22+5+5) yd = 32 yd
To find the amount of paint is needed to coat the path.
Formula
The area of a circle with radius r is πr²
Now,
The radius of outer circle (R) = 16 yd
The radius of inner circle (r) = 11 yd
The area of the outer circle = 3.14×16² sq yd = 803.84 sq yd
The area of the inner circle = 3.14×11² sq yd = 379.94 sq yd
So,
The area of the path is = (803.84-379.94) =423.9 sq yd
1 gallon is needed to cover 7 sq yd.
The required paint to cover 423.9 sq yd = (423.9÷7) gallon
= 60.55 gallon = 61 gallon (approx)
Hence,
To cover the path 61 gallon paint is needed.