A cone, placed on a table, is cut from the middle by a horizontal plane. The lower portion is placed in inverted position & upper portion is placed symmetrically on it. Calculate the total visible area (Take R = 14 cm, Pi = 22/7 and h = 48 cm)
A circular cone with height 24 and radius 6 is placed on its circular face on a table. It is then cut by a horizontal plane, which is parallel to the circular base and passes through the midpoint of the height. The volume of the lower part of the cone can be written as A*PI.
What is the value of A?
A spherical shell of mass m is resting on the rough horizontal plane with a coefficient of friction 0.3 a horizontal force act at a distance of 5r/3 from the baseline where r is the radius of the sphere. Find work done by friction body has moved by a distance of gm/r from the initial position?
What is an open plane curve formed by the intersection of a cone with a plane parallel to its side, resembling the path of a projectile under the action of gravity?
Visualize a cube. You know it has 6 faces, 8 corners, and 12 edges. Now, imagine a knife slicing away each corner with a straight plane cut. How many total edges are there now?