R. D. Sharma Solutions for Chapter: Surface Area and Volume of a Right Circular Cylinder, Exercise 2: EXERCISE

If the lateral surface area of a cylinder is $94.2 {\mathrm{cm}}^2$ and its height is $5 \mathrm{cm}$, If the volume of the cylinder is $k {\mathrm{cm}}^3$, find $k$ (up to one decimal place). Take $\mathrm{\pi }=\frac{22}{7}$.

The curved surface area of a cylinder is $1320 {\mathrm{cm}}^2$ and its base had diameter $21 c\mathrm{m}$. Find the height and the volume of the cylinder [Use $\pi =22/7$].

Two circular cylinders of equal volumes have their heights in the ratio $1:2$. If the ratio of their radii is $\sqrt{k}:1$, then find the value of $k$.

A cylindrical tube, open at both ends, is made of metal. The internal diameter of the tube is $10.4 \mathrm{cm}$ and its length is $25 \mathrm{cm}$. The thickness of the metal is $8 \mathrm{mm}$everywhere. If the volume of the metal is $k {\mathrm{cm}}^3$, find the value of $k$

A rectangular sheet of paper $30 \mathrm{cm}\times 18 \mathrm{cm}$ can be transformed into the curved surface of a right circular cylinder in two ways that is, either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.

How many litres of water flow out of a pipe having an area of cross-section of $5 {\mathrm{cm}}^2$ in one minute, if the speed of water in the pipe is $30 \mathrm{cm}/\sec$?

The sum of the radius of the base and height of a solid cylinder is $37 \mathrm{m}$. If the total surface area of the solid cylinder is $1628 {\mathrm{cm}}^2$. The volume of the cylinder$=$_____${\mathrm{cm}}^3$.

A well with $10 \mathrm{m}$ inside diameter is dug $8.4 \mathrm{m}$ deep. Earth taken out of it is spread all around it to a width of $7.5 \mathrm{m}$ to form an embankment. Find the height of the embankment.