Mathematics
A tent is in the shape of a cylinder surmounted by a conical top. If 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
Related Questions
There are three positive numbers in 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.
The table given below shows the ages of members of a society.
Age (in years) Number of members of society 25-35 05 35-45 32 45-55 69 55-65 80 65-75 61 75-85 13 (a) Draw a histogram representing the above distribution.
(b) Estimate the modal age of the members.
The line segment joining A(2, -3) and B(-3, 2) is intercepted by the x-axis at the point M and the y-axis at the point N. PQ is perpendicular to AB at R and meets the y-axis at a distance of 6 units form the origin O, as shown in the diagram, at S. Find the :
(a) coordinates of M and N.
(b) coordinates of S
(c) slope of AB.
(d) equation of line PQ.
The angles of depression of two ships A and B on opposite sides of a light house of height 100 m are respectively 42° and 54°. The line joining the two ships passes through the foot of the light house.
(a) Find the distance between the two ships A and B.
(b) Give your final answer correct to the nearest whole number.
(Use mathematical tables for this question)
