A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is? 

The total Surface area of a solid hemisphere is 1039.5 cm². The volume ( in cm³) of the hemisphere is: (Take π=22/7)

If the area of a triangle is 616 square cm, then its perimeter will be-

In a circle of radius 17 cm, two parallel chords of lengths 30 cm. and 16 cm are drawn. If both the chords are on the same side of the center, then the distance between the chords is -

If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius R₁ and height h, then h in terms of R₁ will be :

A right triangle with sides 5 cm, 12 cm and   13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :

If the height of a perpendicular cylinder is 10 cm and its curved surface area is 440 square cm, what is its radius?

If a side of a square is a, then what will be the area of the square on its diagonal?