ECZ 2015 · GCE Paper 2 · Question 10 — Earth Geometry
Question from ECZ 2015 · GCE Paper 2 · Question 10
(a) Two towns K and M are on latitude 12° S. Town K is on longitude 58.4° W while town M is on longitude 25.6° E.
(a(i)) Show the positions of towns K and M on a sketch of the earth.[2]
Verified working — step 1
Draw a circle for the earth with the equator across the centre and the prime meridian vertical.(a(ii)) Taking π = 3.142 and R = 6 370 km, calculate the distance KM.[3]
Verified working — step 1
K and M share latitude 12 S, on opposite sides of the prime meridian.(a(iii)) Given that the time at town K is 13 00 hours what is the time at town M?[1]
Verified working — step 1
Every 15° of longitude is 1 hour of time.(b) Chakudya has a food warmer made up of a cylindrical bowl and a conical lid, as shown in the diagram below. The bowl has a height of 20 cm and a diameter of 32 cm. The height of the lid is 5 cm. Taking π = 3.142, Calculate
(b(i)) the surface area of the cylindrical bowl,[4]
Verified working — step 1
Radius = 322 = 16 cm.(b(ii)) the volume of the lid (volume of cone = (13) π r2 h).[2]
Verified working — step 1
The lid is a cone with radius 16 cm and height 5 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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