From the solid gold in the form of a cube of side length 1cm,spherical gold balls each having surface area (π)^(1/3) cm² are to be made.Assuming that there is no loss to the material in the process of making the balls,the maximum number of balls made will be

The circumference of a circle is 100cm.The side of a square inscribed inside the circle is

A large water tank has the shape of a cube.If 128m³ of water is pumped out,the water level goes down by 2m.Then the maximum capacity of the tank is

Consider the following statements

1.If the height of a cylinder is doubled,the area of the curved surface area is doubled

2.If the radius of a hemispherical radius is doubled,its total surface area is four-fold

Which of the above statements is correct?

The point O is equidistant from three sides of a triangle ABC.Consider the following statements

1.<OAC+<OCB+<OBA=90

2.<BOC=2<BAC

3.The perpendiculars drawn from any point on OA to AB and AC are always equal

Which of the above statements are correct?

ABCD is a parallelogram with AB and AD as adjacent sides.If <A=60 and AB=2AD,then diagonal BD will be equal to