1. The length of the longest pole that can be put in a room of dimension (10 m × 10 m × 5 m) is
2. The lateral surface area of a cube is 256 m³. The volume of the cube is
3. The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is
4. A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a shape. The radius of the sphere is
5. The total surface area of a cube is 96 cm². The volume of the cube is