The earth as sphere questions | form three Basic Mathematics

(6516) Question Category: Mathematical Calculation

A sphere of radius 5cm is melted down and made into a solid cube. Find the length of a side of the cube given that the volume (V) and surface area (A) of the sphere are given by V=frac{4}{3} pi r^{3} and A=4pi r^{2}.

Answer / Solution

UNSOLVED

(6517) Question Category: Mathematical Calculation

Two towns , A and B, are located at (10°S,38°E) and (10°S,43°E) respectively.

  1. Find the distance between the two towns in kilometres. (Use radius of the Earth, R=6400km andpi=3.14). Give the answer to the nearest whole number.
  2. Suppose a ship is sailing at 50km/h from town A to town B. Using the answer obtained in part(a)(i), find how long will the ship take to reach town B.

Answer / Solution

UNSOLVED

(6518) Question Category: Mathematical Calculation

Two places P and Q both on the parallel of latitude 26°N differ in longitude by 40°. Find the distance between them along their parallel of latitude.

Answer / Solution

UNSOLVED

(6519) Question Category: Mathematical Calculation

A ship sails from Pemba (4.5°S, 39.5°E) to Dar es Salaam(7.5°S, 39.5°E). If it leaves Pemba at 11:30 am and arrived in Dar es salaam as 13:30pm, use pi =22/7 and R_{varepsilon }=6370km to find the speed of the ship in km/h.

Answer / Solution

UNSOLVED

(6520) Question Category: Mathematical Calculation

Kicheko and Mtakuja are two villages on latitude 60°S. The distance between Kicheko and Mtakuja measured along the parallel of latitude is 1111km. Find the difference between their longitudes in two significant figures.

Answer / Solution

UNSOLVED


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