R S Aggarwal and Veena Aggarwal Solutions for Exercise 2: EXERCISE 15B

The diameter of a cylinder is 28 cm and its height is 40 cm. Find the curved surface area, total surface area and the volume of the cylinder.

How many litres of water flows out of a pipe having an area of cross section of $5 {\mathrm{cm}}^2$ in $1$ minute, if the speed of water in the pipe is $30 \mathrm{cm}/\sec$ ?

A cylindrical water tank of diameter$1.4 m$ and height $2.1 \mathrm{m}$ is being fed by a pipe of diameter $3.5 cm$ through which water flows at the rate of $2 \mathrm{m}$ per second. In how many minutes will the tank be filled?

A cylindrical container with diameter of base $56 \mathrm{cm}$ contains sufficient water to submerge a rectangular solid of iron with dimensions $(32 \mathrm{cm}\times 22 \mathrm{cm}\times 14 \mathrm{cm})$. If the rise in the level of water is $k \mathrm{cm}$, when the solid is completely submerged. Find the value of $k$ [Take $\mathrm{\pi }=\frac{22}{7}$].

Find the length of $13.2 \mathrm{kg}$ of copper wire in meters of diameter $4 \mathrm{mm}$, when $1$ cubic centimeter of copper weighs $8.4 g$. [Take $\mathrm{\pi }=\frac{22}{7}$].

It costs $₹ 3300$ to paint the inner curved surface of a cylindrical vessel $10 \mathrm{m}$ deep at the rate of $₹30 \mathrm{per} {\mathrm{m}}^2$. Find the inner curved surface area of the vessel in ${\mathrm{m}}^2$.

It costs $₹3300$ to paint the inner curved surface of a cylindrical vessel $10 \mathrm{m}$ deep at the rate of $₹30 \mathrm{per} {\mathrm{m}}^2$. Find the inner radius of the base. [Take $\mathrm{\pi }=\frac{22}{7}$].

It costs $₹3300$ to paint the inner curved surface of a cylindrical vessel $10 \mathrm{m}$ deep at the rate of $₹30 \mathrm{per} {\mathrm{m}}^2$. Find the capacity of the vessel in ${\mathrm{m}}^3$. [Take $\mathrm{\pi }=\frac{22}{7}$]