Answer:
1 in. is the answer.
Step-by-step explanation:
Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches
There are two kinds of rotations
1. one along the Breadth, side having length 6 inches,i.e rotated along line GH, Cylinder Z is created.
Radius of cylinder Z=6/2= 3 inches
2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.
Radius of cylinder Y= 4/2= 2 inches
Difference in Radii= Radius of cylinder Z - Radius of cylinder Y
= 3 - 2= 1 inches
Diagram shown below of both the cases:
The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)
According to the statement
we have given a coordinates of the rectangle and we have to find the polar coordinates.
So, For this purpose, we know that the
We Use the conversion formulas to convert from polar coordinates to rectangular coordinates which are
x = rcosθ
y = rsinθ
Substitute the given values in it then
x=(4)cos(300)
y=(4)sin(300)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
x=(4)cos(60) -(1)
y= - (4)sin(60) -(2)
And then
x=(4)cos(60)
x=(4)(1/2)
x = 2 -(3)
and
y= - (4)sin(60)
y= - (4)(√3/2)
y= - 2√3 -(4)
Replace (3) with (1) and (4) with (2)
then it becomes
x = 2 and y= - 2√3
The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)
Learn more about polar coordinates here
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Weird that the only choices are given as integrals with respect to

. (Integration along the

axis would be way easier, but whatever)
The fourth option should do it.
Answer:
times
Step-by-step explanation:

Divide both sides by 5

Hope this helps