The volume of a right circular cone, whose radius of the base is half of its altitude, and the volume of a hemisphere are equal. The ratio of the radius of the cone to the radius of the hemisphere is:
A ball, thrown vertically upward, rises to a height of 80 m and returns to its original position. The magnitude of its displacement after 7 s of motion will be ______. (take g=10 m/s²)
Consider the given argument and decide which of the given assumptions is (are) implicit.
Argument:
All the faculty members are instructed to reach the college by 9.00 A.M.
Assumptions:
1. Some faculty members do not come on time.
2. Faculty members will follow all the instructions in the notice.
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be: