About how accurately must the tank's exterior diameter be measured to calculate the amount of paint it will take to paint the side of the tank to within 5% of the true amount? Express your answer as a percentage of the outer diameter:

The error of the diameter would be 5% .

Step-by-step explanation:

Since we have given that

Here, r is the radius

h is the height

So, it becomes,

So, we will derivate S wrt D, we get that

---------------------(1)

As we have given that

it will take to paint the side of the tank to within 5% of the true amount.

So, it becomes,

---------------(2)

So, from (1) and (2) , we get that

Hence, the error of the diameter would be 5% .

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8