Monicaa Abhijit Solutions for Chapter: Mensuration-II (Solid Figures), Exercise 4: EXERCISE 18.4

If the lateral surface of a cylinder of height $5 \mathrm{cm}$ is $94.2 {\mathrm{cm}}^2$, then find the radius of the base.

If the lateral surfaee of a cylinder of height$5 \mathrm{cm}$ is $94.2 {\mathrm{cm}}^2$, then find the volume of the cylinder(Use $\mathrm{\pi }=3.14$)

The ratio between the curved surface area and the total surface area of a right circular cylinder is $1:2$. Find the volume of the cylinder, if its total surface area is $616 {\mathrm{cm}}^2$.

The height of a right circular cylinder is $12.6 \mathrm{cm}$. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

A piece of copper of volume $4.4 {\mathrm{dm}}^3$is drawn into a cylindrical wire $0.025 \mathrm{cm}$ in diameter. Find the length of the wire.

The diameter of a cylindrical tank is $24.5 \mathrm{m}$ and depth is $8 \mathrm{m}$. How many metric tons of water will it hold? [$1{\mathrm{m}}^3$ of water weighs $1,000 \mathrm{kg}$ and $1 \mathrm{metric} \mathrm{ton} = 1,000 \mathrm{kg}$]

A hollow cylindrical lube, open at both ends is made of $2 \mathrm{cm}$ thick iron. If the external diameter is $50 \mathrm{cm}$ and the length of the tube is $140 \mathrm{cm}$, find the volume of iron in it. Find the weight of the tube, if $1 {\mathrm{cm}}^3$ of metal weighs $8 \mathrm{g}$.

A rectangular sheet of paper $35 \mathrm{cm}\times 21 \mathrm{cm}$ can be transformed into the curved surface of a right circular cylinder in two ways, i.e., either by rolling the paper along its length or along its breadth. Find the ratio of the volumes of the two cylinders thus formed.