Question

If the length of the cylinder is increased by 2% the area of its base will increase by

Answer 1

Answer:

Here volume of the cylinder will be constant

⇒LA=V

⇒L∝1/A

⇒dL/L=-dA/A³

⇒dL/L×100=-dA/A³×100

⇒2=dA/A(-1/A²)×100

⇒dA/A×d/dA(A)×100=2

⇒dA/A=2%

⇒Area will be decreased by 2%

Step-by-step explanation: