A conical solid block is exactly fitted inside the cubical box of side 'a' then the volume of conical solid block is `4/3pia^(3)`. If this statement true. Justify.

A solid ball is exactly fitted inside the cubical box of side 'a'. The volume of the ball is …

A solid metallic ball of volume 64 cm^(3) is melted and made into a solid cube. Find the side of solid cube.

In a hollow cuboid box of size 4 times 3 times 2 m, the number of solid iron spherical balls of radius 0.5 m that can be packed …………

A' thermacole' icebox is a cheap and an efficient method for storing small quantities of cooked food in summer in particular. A cubical icebox of side 30 cm has a thickness of 5.0 cm. "if "4.0 kg of ice is put in the box, estimate the amount of Ice remaining after 6 h. The outside temperature is 45^(@) C and co-efficient of thermal conductivity of thermacole is 0.01 J s^(-1) m^(-1) K^(-1) . [Heat of fusion of water = 335 xx 10^(3) J kg^(-1) ]

A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g/3, the fraction of volume immersed I the liquid is 1/N. Then N is equal to______

A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete. Each step has a rise a 1/4 m and a tread of 1/2 m. (sec Fig.). Calculate the total volume of concrete required to build the terrace. [ Hint : Volume of concrete reuqired to build the first step = 1/4 xx 1/2 xx 50 m^(3) ]