Question

The volume of a cylinder is V = πr2h. Write down the correct general formula to determine the error in the volume of the cylinder, ΔV, given Δr and Δh. (What do you do with π?) Hint: Break up the problem into two parts, first consider the Area A of the cylinder base and then use V=A h.

Answer 1

Answer:

Error in volume is shown as attached below

Step-by-step explanation:

What is applied is product rule differentiation by making the first term constant, differentiate the second term + make the second term constant, differentiate the first.

The step by step derivation and appropriate differentiation is shown in the attachment.