Answer: the amount needed is around 25.64m^2
Step-by-step explanation:
Here we have a thickness of 0.07cm and a surface of 54m
So we have the integral of volume between:
54m and 54m + 0.0007m
this is equal to:
v= ∫sin(θ)r^2drdθdφ
Where dr goes as we know, from 54m to 54m+0.0007m, dφ goes from 0 to 2*pi, and θ goes from 0 to pi.
Solving the integral, we have that:
v = 2*pi*∫sin(θ)rdrdθ
v = 4*pi*∫rdr = (4/3)*pi*( (54.0007m)^3 - 54m^3) = 25.64m^3
