Find the volume of the cylinder use 3.14 for pie. Round to the nearest tenth
1 answer:
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Solution :
Along the edge
The parametric equation for is given :
Along edge
The curve here is a quarter circle with the radius 9. Therefore, the parametric equation with the domain is then given by :
Along edge
The parametric equation for is :
Now,
x = 9t, ⇒ dx = 9 dt
y = 0, ⇒ dy = 0
And
Then :
= 0
And
x = 0, ⇒ dx = 0
y = 9 t, ⇒ dy = 9 dt
Therefore,
= 0 + 0 + 0
Applying the Green's theorem
Here,
Therefore,
The vector field F is = is conservative.
