R S Aggarwal and Veena Aggarwal Solutions for Exercise 2: Exercise 17B

Water running in a cylindrical pipe of inner diameter $7 \mathrm{cm},$ is collected in a container at the rate of $192.5$ liters per minute. Find the rate of flow of water in the pipe in $\mathrm{km}/\mathrm{hr}$.

$150$spherical marbles, each of diameter $14 \mathrm{cm}$, are dropped in a cylindrical vessel of diameter $7 \mathrm{cm}$containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.

Marbles of diameter $1.4 \mathrm{cm}$ are dropped into a cylindrical beaker of diameter $7 \mathrm{cm},$ containing some water. Find the number of marbles that should be dropped into the beaker so that the water level rises by $5.6 \mathrm{cm}$.

In a village, a well with $10 \mathrm{m}$ inside diameter, is dug $14 \mathrm{m}$ deep. Earth taken out of it is spread all around to a width of $5 \mathrm{m}$ to form an embankment. Find the height of the embankment. What value of the villagers is reflected here?

If the height of the embankment is $k \mathrm{cm}$, then find $k$ ?

In a corner of a rectangular field with dimensions $35 \mathrm{m} \times 22 \mathrm{m}$ a well with $14 \mathrm{m}$ inside diameter is dug $8 \mathrm{m}$ deep. The earth dug out is spread evenly over the remaining part of the field. Find the rise in the level of the field.

If the rise in the level of the field is $k \mathrm{m}$, then find $k$ ? (Use $\mathrm{\pi }=\frac{22}{7}$)

A copper wire of diameter $6 \mathrm{mm}$ is evenly wrapped on a cylinder of length $18 \mathrm{cm}$ and diameter $49 \mathrm{cm}$to cover its whole surface. Find the length and the volume of the wire. If the density of copper be $8.8 \mathrm{g} \mathrm{per} \mathrm{cu}-\mathrm{cm}$, find the weight of the wire.

If the weight of the wire is $k$ $\mathrm{kg},$ then find $k$ ? (Use $\mathrm{\pi }=\frac{22}{7}$)

A right triangle whose sides are $15 \mathrm{cm}$ and $20 \mathrm{cm}$ (other than hypotenuse), is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Choose value of it as found appropriate)

After finding the above quantities, If the surface area surface area of the double cone is $k {\mathrm{cm}}^2$, then write the value of $k$.

In a hospital, used water is collected in a cylindrical tank of diameter $2 \mathrm{m}$ and height $5 \mathrm{m}$. After recycling, this water is used to irrigate a park of hospital whose length is $25 \mathrm{m}$ and breadth is $20 \mathrm{m}$. If the tank is filled completely then what will be the height of standing water used for irrigating the park? Write your views on recycling of water.