Volume and Surface Area

Practice Volume and Surface Area – A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

Practice Volume and Surface Area – A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

Practice Volume and Surface Area – A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs , then the weight of the pipe is

Practice Volume and Surface Area – The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height

Practice Volume and Surface Area – A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

Practice Volume and Surface Area – Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.

Practice Volume and Surface Area – A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

Practice Volume and Surface Area – The capacity of a tank of dimensions (8m x 6m x 2.5m)is

Practice Volume and Surface Area – There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes

Practice Volume and Surface Area – The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size? 

Practice Volume and Surface Area – Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.

Practice Volume and Surface Area – The diagonal of the floor of a rectangular closet is  feet. The shorter side of the closet is  feet. What is the area of the closet in square feet?

Practice Volume and Surface Area – A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs , then the weight of the pipe is

Practice Volume and Surface Area – The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

Practice Volume and Surface Area – What part of the volume of a cube is the pyramid whose base is the base of then cube and whose vertex is the center of the cube?