That's nice, but u haven't solved question 2 and the answer to question 1i is 3/2 not 3/3
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2 partsStep-by-step solution
4 stepsMy apologies if there was any confusion.
For Question 1(i), the calculated length of the curve C was indeed .
The final answer for Question 1(i) is .
I did provide solutions for Question 2, parts a) and b). Here they are again for clarity:
Part 2
A square of side is rotated through about a line in its plane which is distant from the centre O of the square. Use theorems of Pappus to find:
Part a
The Volume of the Solid swept out by the Square.
Identify the area of the square.
Side length .
Area .
The centroid of the square is its geometric center.Apply Pappus's First Theorem.
The distance of the centroid from the axis of rotation is .
The volume is given by .The volume of the solid swept out by the square is .
Part b
The area of the Surface of the Solid.
Identify the perimeter of the square.
Perimeter .
The centroid of the perimeter is its geometric center.Apply Pappus's Second Theorem.
The distance of the centroid from the axis of rotation is .
The surface area is given by .The area of the surface of the solid is .
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