ECZ 2021 · O-Level Paper 2 · Question 7 — Earth Geometry
The points P, Q, R and T are on the surface of the earth as shown in the diagram. (Take pi = 3.142 and R = 3 437 nm.)
(a(i)) The points P, Q, R and T are on the surface of the earth as shown in the diagram. Determine the difference in longitudes between points Q and R.[2]
Verified working — step 1
From the diagram, Q (70 degrees N) and R (40 de…(a(ii)) Find the length of the circle of latitude 40 degrees S in nautical miles.[2]
Verified working — step 1
A circle of latitude has radius R cos 40.(a(iii)) Calculate the distance TR in nautical miles.[2]
Verified working — step 1
T is at 60 degrees W and R at 55 degrees E on latitude 40 degrees S, so the difference in longitude is 60 + 55 = …(b(i)) The diagram shows a cone whose shaded part is its thickness. The internal volume is 34 650 cm3 and the internal base area is 3 850 cm2. (Take pi = 3.142.) Calculate the internal height (h) and radius (r).[4]
Verified working — step 1
Using V = (13)Ah:(b(ii)) Given that the cone is 0.7 cm thick, calculate the external volume of the cone.[2]
Verified working — step 1
External radius = 35.0 + 0.7 = 35.7 cm and external height = 27 + 0.7 = 27.7 cm.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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