ECZ 2017 · O-Level Paper 2 · Question 4 — Mensuration

Question from ECZ 2017 · O-Level Paper 2 · Question 4

(a) Solve the equation 2x2 = 6x + 3, giving your answers correct to 2 decimal places.[5]

Verified working — step 1

2x2 - 6x - 3 = 0, so a = 2, b = -6, c = -3.

(b) The figure is a frustum of a cone. The base diameter and top diameter are 42 cm and 14 cm respectively, while the height is 20 cm. (Take pi as 3.142.) Calculate its volume.[6]

Diagram for part (b)

Verified working — step 1

Base radius R = 21 cm and top radius r = 7 cm, with height h = 20 cm.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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