Page 208 - ADVANCED MATH F.5

Form Five Form Five

45
9. square units 11. 257 units
4

12. 4.44 units 13. 12.0397 units
FOR ONLINE READING ONLY
π 15. 21.2563units 16. 2 unitsπ
14. r units
2
3 a π
2
17. 78 square units 18. 2 square units
3

Volume of a solid of revolution

Teaching steps
1. Guide students through jigsaw to describe what happens when
the plane in Figure 9.10 (a) in the Student’s Book bounded by
the curve, the x-axis, and the lines x = a and x b= is rotated
through a complete revolution about the x-axis.

2. Assist students through discussion to study Figure 9.10 (b) in
the Student’s Book and observe the solid generated by rotating
the plane about the x-axis. Encourage students to explore
additional resources, such as online tutorials, simulations, or
reference books, to enrich their understanding and for further
practice.
3. Assist students through discussions to use Figures 9.11(a)
and 9.11(b) in the Student’s Book, to derive the formula for
calculating the volume of the solid of revolution generated after
rotating the plane figure a complete revolution about the x-axis.

4. Guide students through discussion to investigate the volume
of the solid of revolution generated when the strip rotates
completely about the x-axis. Allow students to share alternative
methods of deriving the formula for the volume of the solid of
revolution.

202
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:54
ADVANCED MATH F.5 TG CHAPTERS.indd 202
ADVANCED MATH F.5 TG CHAPTERS.indd 202 30/06/2024 18:02:54