A 2-inch schedule 40 (2.067 in.) pipe showed a deviation of 0.113 cm below the true value of its inside diameter. What is the deviation of the inside area?

icon
Related questions
Question

A 2-inch schedule 40 (2.067 in.) pipe showed a deviation of 0.113 cm below the true value of its inside diameter. What is the deviation of the inside area?

Expert Solution
Step 1

The diameter (d) of the inside be defined as 2.067 inches. Therefore, the radius (r) be given as,

r=d2=2.067 inch2=1.0335 inch=(1.0335 inch)(2.54 cm1 inch)=2.625 cm

Step 2

Let A be defined as the area. Therefore,

A=πr2Taking log both side,logA=logπr2logA=logπ+2logrOn Differentiating,dAA=2rdrdA=2ArdrdA=2πr2rdrdA=2πrdr

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer