Source: Complete International Mathematics For Cambridge IGCSE - David Rayner, Jim Fenson

1. Find the quantities marked *. (Leave π in the answer)

 a) Sphere
 b) Cylinder
 c) Cone
 e) Sphere
 f) Cone
 g) Cylinder
h)  Cone
 i) Sphere
 j) Hemisphere

2. A solid wooden cylinder of height 8 cm and radius 3 cm is standing vertically.
    It is then cut in two along a vertical plane of symmetry. 
    Calculate the surface area of the two pieces.

Each cut piece has the following surfaces:
1. A rectangle (along the cut plane)
2. Two semi-circles(base and top)
3. Half the circular face of the cylinder.

3. A tin of paint covers a surface area of 60 cm² and costs $4.50. 
    Find the cost of painting the outside surface of a hemispherical dome of radius 50 m.
    (Just the curved part)


4. Find the surface area of a sphere of volume 28 cm³.


5. A golf ball has a diameter of 4.1 cm and the surface has 150 dimples of radius 2 mm.

    Calculate the total surface area which is exposed to the surroundings.
    (assume the dimples are hemispherical)

The golf ball can be considered a sphere.
The dimples can be considered holes cut out on the surface of the sphere.
In addition the surface area of the dimples have to be calcula

6. A cone of radius 3 cm and slant height 6 cm is cut into four identical pieces.
    Calculate the total surface area of the four pieces.



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