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

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 curved surface area of the cylinder is 1760 cm^(2) . And its volume is 12320 cm ^(3) Find its height.

The centre of a regular hexagon is at the point z=i . If one of its vertices is at 2+I, then the adjacent vertices of 2+I are at the points

The base area of a cone is 38.5cm^(2) .Its volume is 77 cm ^(3) Find its height .

Find the edge of a cube whose volume is 1000 cm ^(3)

Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral is (a) 1/2 (b) 1/5 (c) 1/10 (d) 1/20

The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500cm^(3) , then find its dimensions.

Find the volume of cube if,its edge is 10 cm.

From a given solid cone of height H, another inverted cone is carved whose height is h such that its volume is maximum. Then the ratio H/h is