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 cube is 864 square cm. What will be its volume?

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

A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.

The ratio between the volume (cm³) of a cylinder and the curved surface area (cm²) is numerically 14: 1. If the height of the cylinder is 50 cm, what is the volume of the cylinder (cm³) ?

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 :

The edges of a cuboid are in the ratio 1 : 2: 3 and its surface area is  88 sq.cm. The volume of the cuboid is:

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm³, then its lateral surface area ( in cm²) is: