The length of the longest pole that can be put in a room of dimensions (10 m x 10m x 5m) is

The lateral surface area of a cube is 256 m²_.The volume of the cube is

The number of planks of dimensions (4m x 50cm x 20cm) that can be stored in a pit which is 16 m long, 12 m wide and 40 m deep is

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is

Write whether True or False and justify your answer

The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.