The figure shows a cylinder which is hollow in the middle and has a thickness of 10 cm. (Taking .)

- (a)
Find the area of the shaded face.
- (b)
Randall dipped the entire cylinder into red paint. What is the surface area of the cylinder that is painted red?
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Worked solution
12(a)
1. Find the outer and inner radii of the shaded face
Outer radius
Inner radius
2. Calculate the area of the shaded face
12(b)
1. Calculate the area of the two annular bases (top and bottom faces).
Area of one annular face
Area of two faces
2. Calculate the outer and inner curved surface areas.
Outer curved surface area
Inner curved surface area
3. Find the total painted surface area.
Total surface area
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