Mensuration is one of 9 topics in the Grade 11 Technical Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.
Sample practice questions
Easy
1. What is the formula for the volume of a cylinder with radius r and height h?
pi.r^2.h
2.pi.r.h
(1/3).pi.r^2.h
(4/3).pi.r^3
Answer: pi.r^2.h — The volume of a cylinder is base area (pi.r^2) times height h: V = pi.r^2.h.
Easy
2. The volume of a cone is what fraction of a cylinder with the same base and height?
1/3
1/2
2/3
Equal to the cylinder
Answer: 1/3 — A cone's volume is exactly one-third that of a cylinder sharing the same base radius and height.
Medium
3. Calculate the volume of a cylinder with radius 4cm and height 10cm, to 2 decimal places. (Use pi=3.1416.)
Answer: 502.66 — V = pi(4)^2(10) = 3.1416 x 16 x 10 = 502.66 cubic cm (2 d.p.).
