(i) There are three positive numbers in a Geometric Progression (G.P.) such that:
(a) their product is 3375
(b) the result of the product of first and second number added to the product of second and third number is 750.
Find the numbers.

(ii) The table given below shows the ages of members of a society.

Use graph sheet for this question.
Take 2cm = 10 years along one axis and 2cm=10 members along the other axis.
(a) Draw a histogram representing the above distribution.
(b) Hence find the modal age of the members

(iii) A tent is in the shape of a cylinder surmounted by a conical top. If the height and radius of the cylindrical part are 7 m each and the total height of the tent is 14 m. Find the:
(a) quantity of air contained inside the tent.
(b) radius of a sphere whose volume is equal to the quantity of air inside the tent.
Use 𝜋 = 22/ 7

Solution

,,,