Two containers one in the shape of an inverted cone and the other in the shape of a right circular cylinder are interconnected at the bottom using a thin rubber pipe so that water can flow freely between the two. The height of the cone and the height of the cyclinder are both 48 cm and the radius of the base of the cone are both r cm. Intially both containers are filled to exactly half their heights with water and the vertex of the cone is at the same level as the base of the cyclinder.
If when the cyclinder is raised by X cm the cone is just filled to the brim. Find x
In an examination, questions carry 5, 8 or 11 marks only. A person scores either full marks for a question or 0 marks in the question. There is no negative marking. Further the maximum marks of the test are 100 marks. What is the maximum number of students who can take the test such that no two students scored the same marks?
any other faster method than the one provided by pagalguy??
The number of road incidents is related to the number of vehicles using the roads by a linear equation. When the number of vehicles using the road was 1000, there were 240 incidents and when the number of vehicles using the road was 2000, there were 640 incidents. What is the maximum number of vehicles that can use the roads, if a zero-incident rate is desired?
A certain club decides to organise a summer camp for children. The entry fee per participant is Rs.2400. The camp will be organized only if a minimum of 60 children enroll and for every additional enrollment above that, a discount/refund of Rs.15 is given to each of the children taking part in the camp. Find the number of enrollments that will maximize the revenue earned by the association.
In a delegation of educationalists, 30% are doctorates in Economics, 40% do not have a doctorate degree in Geography, 20% have a doctorate degree in both Economics and History. If all the delegates have at least one doctorate degree among History, Geography and Economics, and 10 delegates are doctorates in all the three subjects, what is the minimum possible number of delegates in the delegation?
ABCD Is a parallelogram AE is a line drawn onto BC such that E divides BC equally(BE:EC=1:1). P is a point on AE such that AP/PE=2/1 Q is a point on AB and area of triangle APQ=16.PQ//BC.AD=8cm find area of triangle ADP???
Budget if the movie Bug's life is produced in USA is 4.5 usd millions then,had the movie be produced in india,its budget would have decreased by approx?