Question

Find the volume obtained by revolving one arch of the cycloid

Answer 1

Answer:

The Volume is = 5πa³ units ³

Step-by-step explanation:

First we consider the area of the Cycloid  = x=a(Ф-sin Ф)

Now,

we know that formula for the volume is

     2π

V=∫     π y² dx

    0

now accordingly in the third step

we will put the value of dx/dФ

now

step by step we will solve the integration to get the answer.

I have uploaded a picture to support and show all the steps associated with the problem.

thank you.