ECZ 2021 · GCE Paper 2 · Question 12 — Earth Geometry
Question from ECZ 2021 · GCE Paper 2 · Question 12
(a) The points A, B, C and D are on the surface of the earth as shown in the following diagram. (Take π as 3.142, R = 6 370 km or 3 437 nm)
(a(i)) Determine the difference in longitude between points A and B.[1]
Verified working — step 1
A is due north of C and B due north of D, …(a(ii)) Calculate the distance between points
(a(ii)(a)) C and D along the equator in nautical miles,[2]
Verified working — step 1
C and D lie on the equator, where 1 minute of longitude = …(a(ii)(b)) B and D along longitude NBDS in kilometres.[3]
Verified working — step 1
B (52 N) and D (0, on the equator) share a meridian, so BD is a great-circle arc.(b) The following diagram shows a frustum of a cone. The radii of the circles at the top and bottom are 1.5 cm and 5 cm respectively. Its height is 7 cm. Calculate the volume of the frustum. (Take π as 3.142)[6]
Verified working — step 1
Frustum of a cone: V = (13) π h (R2 + Rr + r2).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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