Given:A godown measures $40\ m \times 25\ m \times 10\ m$. To do:We have to find the maximum number of wooden crates each measuring $1.5\ m \times 1.25\ m \times 0.5\ m$ that can be stored in the godown.Solution:Length of the godown $(L) = 40\ m$Breadth of the godown $(B) = ... Read More

Given:A solid cube of side \( 12 \mathrm{~cm} \) is cut into eight cubes of equal volume. To do:We have to find the side of the new cube and the ratio of the surface area of the larger cube to that of the smaller cube.Solution:Volume of $12\ cm$ cube$=(12\ cm)^3$$=1728\ cm^3$Volume ... Read More

Given:A river $3\ m$ deep and \( 40 \mathrm{~m} \) wide is flowing at the rate of \( 2 \mathrm{~km} \) per hour. To do:We have to find the amount of water that falls into the sea in a minute.Solution:Area of the river $=$ Depth $\times$ Width$=3\times40\ m^2$$=120\ m^2$Amount of water ... Read More

Given:The circumference of the base of a cylindrical vessel is \( 132 \mathrm{~cm} \) and its height is \( 25 \mathrm{~cm} \).To do:We have to find the volume of water it can hold.Solution:Circumference of the base of the cylindrical vessel $= 132\ cm$This implies, $2\pi r = 132$$2 \times \frac{22}{7} ... Read More

 Given:The inner diameter of a cylindrical wooden pipe is $24\ cm$ and its outer diameter is $28\ cm$. The length of the pipe is $35\ cm$.$1\ cm^3$ of wood has a mass of $0.6\ g$.To do:We have to find the mass of the pipe.Solution:The inner diameter of the cylindrical wooden ... Read More

 Given:A soft drink is available in two packs -(i) a tin can with a rectangular base of length $5\ cm$ and width $4\ cm$, having a height of $15\ cm$ and(ii) a plastic cylinder with circular base of diameter $7\ cm$ and height $10\ cm$.To do:We have to find the ... Read More

Given:It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel \( 10 \mathrm{~m} \) decp. The cost of painting is at the rate of \( Rs. 20 \) per \( \mathrm{m}^{2} \).To do:We have to find(i) inner curved surface area of the vessel(ii) radius of the ... Read More

 Given:The capacity of a closed cylindrical vessel of height $1\ m$ is $15.4$ litres.To do:We have to find the metal sheet needed to make the vessel.Solution:The capacity of the closed cylindrical vessel $= 15.4\ L$This implies, Volume of the vessel $=\frac{15.4}{1000}$$=0.0154 \mathrm{~m}^{3}$                  ... Read More

Given:A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is \( 7 \mathrm{~mm} \) and the diameter of the graphite is \( 1 \mathrm{~mm} \). The length of the pencil is \( 14 \mathrm{~cm} \).To ... Read More

 Given:A patient in a hospital is given soup daily in a cylindrical bowl of diameter $7\ cm$.The bowl is filled with soup to a height of $4\ cm$.To do:We have to find the volume of soup the hospital has to prepare daily to serve 250 patients.Solution:Diameter of the cylindrical bowl ... Read More