Junior Cert Higher Revision Key Skills Worksheet
Mr. Courtney
Chapter 17 Cylinder Sphere Cone
1. I can find the Volume, Curved surface area and total surface area of a cylinder.
2. I can find any dimension of a cylinder given its volume and one other dimension.
3. I can use these formulae for 1 and 2 above from are in the log tables
a. Volume Cylinder = ∏r2h
b. Curved Surface Area = 2∏rh
c. Total Surface Area = 2∏rh + 2∏r2
Q6 Q9 Q14 Q16 Page 342
4. I know that the ‘volume of a sphere is equal to 2/3 of the volume of the smallest
cyclinder which encloses it’ Archimedes (born 287 BC)
5. I know how to use the following formulae with Spheres and Hemispheres
Volume sphere = 4/3 ∏r3
Surface Area Sphere = 4 ∏r2
Volume Hemisphere = 2/3 ∏r3
Surface Area of solid Hemisphere = 3 ∏r2
6. I have looked at and understand Example 2 Page 345 which equates the (cylindrical)
volume of water displaced in a cylinder with the volume of the ball displacing it.
Q1 Q3 Q7 Q 10 Q11 Q12 Q15 Q17 Page 346
7. I can use the following formulae for (right circular i.e. vertex is directly above centre of
base)) Cone calculations
Volume of a cone = 1/3 ∏r2h
Curved surface area = ∏rl
Total surface area of a solid cone = ∏rl + ∏r2
See Example 1 and Example 2 Page 349
Q1 Q3 Q5 Q10 Q11 Q13 Q16 Q17 Q18
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