A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

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

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?

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?

What is the total CSA of cone whose radius is 3 cm and height is 4 cm? 

The ratio of Volume of two spheres A and B is 8 : 1. The Surface Area of Sphere B is 616 cm². Find the radius of sphere A.

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 :