The lateral edge of a regular rectangular pyramid is `ac mlongdot` The lateral edge makes an angle `alpha` with the plane of the base. Find the value of `alpha` for which the volume of the pyramid is greatest.

The lateral edge of a regular hexagonal pyramid is 2cm .If volume is maximum then its height is

The latest edge of a regular hexagonal pyramid is 1cm .If the volume is maximum, then find its height.

The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X-axis. The value of alpah is

A regular square based pyramid is inscribed in a sphere of given radius R so that all vertices of the pyramid belong to the sphere.Find the greatest value of the volume of the pyramid.

Lateral edges the edges through the vertex of a pyramid are known as its lateral edges.

Lateral edges the edges through the vertex of a pyramid are known as its lateral edges.

The base of a right pyramid is an equilateral triangle of side 4 cm each. Each sland edge is 5 cm long. The volume of the pyramid is

The Plane 2x - 3y + 6z - 11 = 0 makes an angle sin^(-1) (alpha) with x-axis. The value of alpha is equal to

Comprehesion-I Let k be the length of any edge of a regular tetrahedron (all edges are equal in length). The angle between a line and a plane is equal to the complement of the angle between the line and the normal to the plane whereas the angle between two plane is equal to the angle between the normals. Let O be the origin and A,B and C vertices with position vectors veca,vecb and vecc respectively of the regular tetrahedron. The value of [vecavecbvecc]^(2) is