The total surface area for a silo (base with radius r, cylindrical side with height h, hemispherical cap) is a = 3πr2 + 2πrh. suppose h and r are measured to be h = 20 feet and r = 8 feet to within an error of 1 2 foot for h and 1 4 foot for r. use differentials to estimate the maximum possible error for a (in square feet).

Step-by-step explanation:

The total surface area for a silo A = 3πr^2 + 2πrh.

given

base radius r, cylindrical side with height h, hemispherical cap

h=20 ft  r=8 ft

Δh= 1/2 ft and Δr= 1/4 ft

now, diffrentiating we get

dA= 3π×2r×dr+2π(r×dh+Δr×h)

putting values we get

solving the above equation we get

The total volume of milk would be

Step-by-step explanation:

Since we have given that

Volume =

Number of weeks = 2

So, Total volume of milk that Gino's family drank would be

Hence, the total volume of milk would be