## Avva 3 years ago Applications of integration : the line segment x=1-y , 0 <or equal x <or equal 1 is revolved about the y-axis to generate a cone . find its LATERAL surface area.

1. RaphaelFilgueiras

|dw:1339160052902:dw| S=pi.1.sqrt(2)

2. Avva

I am supposed to use integration to solve ,, for surface area $s=2\pi \int\limits_{a}^{b} X dL$ but I guess we need to edit this equation to calculate the lateral surface area but I don't know what is it??

3. Avva

The area of the curved (lateral) surface of a cone = πrl I guess I'll remove the 2 from the equation right ? in order to calculate it

4. RaphaelFilgueiras

hum, i dont remeber it

5. RaphaelFilgueiras

i will look in my calc book

6. Avva

I calculated it and figured out it is the same I misunderstood something Thank you the 2 pi in the equation is the revolution of the area it means it will revolve one complete revolution THANKS

7. RaphaelFilgueiras

|dw:1339161279772:dw|

8. Avva

Many Thanks @RaphaelFilgueiras

9. RaphaelFilgueiras

you are welcome