2.75 As a fraction in simplest form
2 answers:
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Answer:
and t ∈ [0,2π]
Step-by-step explanation:
The standard equation for circle is:
Comparing our equation with standard
h= 0,
k= 3
r= 4 (as in standard r², so r =√ r²)
Required:
Parametric equations of the circle
Formula:
Putting values of r and h and k we get
As we need to start the object at (4,3)
x(0) = 4 and y(0) = 3
and the period is 2π
As the rotation is starting clock wise we will invert the value of t i.e -t
and t ∈ [0,2π]
Using shells, the volume is
where
is the distance from any point in the region along the x-axis to the axis of revolution 
, which makes up the radius of each shell; and 
is the height of each shell, which is determined by the line 
.
So the volume is
where
So the volume is