If the surface area of a cube is 13254cm²,length of the diagonal is

Three rectangles R1,R2 and R3 have the same area.Their lengths x1,x2 and x3 respectively are such that x1<x2<x3.If V1,V2,V3 are the volumes of the cylinders formed from rectangles R1,R2,R3 respectively by joinng parallel sides along the breadth,then which one of the following is correct?

Let V be the volume of an inverted cone with vertex at origin and axis of the cone is along the positive y-axis.The cone is filled with water up to half of its height.Then the volume of water is

The areas of three mutually perpendicular faces of a cuboid are x,y,z.If V is the volume ,then xyz is equal to

A water tank opened at the top and hemispherical at the bottom and cylindrical above it.The radius is 12m and the capacity is 3312Π m³.The ratio of surface area of spherical and cylindrical portions is

ABCD is a square.If the sides AB and CD are increased by 30%,sides BC and AD are increased by 20%,then the area of the resulting rectangle exceeds area of the square by