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

From a rectangular sheet of sides 18cm and 14cm,a semicircular portion with smaller side as diameter is taken out.Then the area of the remaining sheet will be

A square is inscribed in a right triangle with legs x and y and has a common right angle with a triangle.The perimeter of a square is give by