Volume of irregular shapes using integration

Asked by admin @ 24/08/2021 in Math viewed by 500 People

Prepare a chart displaying volume of irregular shapes using concepts of integration?? microproject he please explain??

Answered by admin @ 24/08/2021

Answer:

Step-by-step explanation:

We take a differential element at a altitude y with width dy. The volume (assuming the differential element to be a cylinder ) is

Then we need to integerate .

Volume of hemisphere is

V = π∫₀ x2dy

Evaluating that within proper limits you get.

V = 2πr³ / 3

Now the volume of full sphere would be twice of that.

So,V =4πr² /3

The basics method to find volume is to be able to identify the proper differential elements and then find the function that would help integerete the differential volume easily.

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