J P Mohindru and Bharat Mohindru Solutions for Chapter: Surface Areas and Volumes, Exercise 2: EXERCISE

Sushant has a vessel, of the form of an inverted cone, open at the top, of height $11 \mathrm{cm}$ and radius of top as $2.5 \mathrm{cm}$ and is full of water. Metallic spherical balls each of diameter $0.5 \mathrm{cm}$ are put in the vessel due to which ${\left(\frac{2}{5}\right)}^{th}$of the water in the vessel flows out. Find how many balls were put in the vessel. Sushant made the arrangement so that the water that flows out irrigates the flower beds.

The rainwater from a roof of $44 \mathrm{m}\times 20 \mathrm{m}$ drains into a cylindrical tank having diameter of base $4 \mathrm{m}$and height $3.5 \mathrm{m}.$ If the tank is just full, find the rainfall in $\mathrm{cm}.$

The rain water from a $22 \mathrm{m}\times$$20 \mathrm{m}$ roof drains into a cylindrical vessel of diameter $2 \mathrm{m}$ and height $3.5 \mathrm{m}.$ If the rain water collected from the roof fills $\frac{4}{5}$th of the cylindrical vessel, then find the rainfall in centimetres.

Find the value of K.

A solid right circular cone of height$60 \mathrm{cm}$ and radius $30 \mathrm{cm}$ is dropped in a right circular cylinder full of water, of height $180 \mathrm{cm}$ and radius$60 \mathrm{cm}$. The volume of water left in the cylinder is ${\mathrm{K} \mathrm{m}}^3$.

Water is flowing through a cylindrical pipe of internal diameter$2 \mathrm{cm}$, into a cylindrical tank of base radius $40 \mathrm{cm}$, at the rate of $0.4 \mathrm{m}$ per second. If the rise in the level of water in the tank in half an hour is $k \mathrm{cm}$, find the value of $k$.

Water is flowing at the rate of$6 \mathrm{km}/\mathrm{h}$ through a pipe of diameter $14 \mathrm{cm}$into a rectangular tank which is $60 \mathrm{m}$ long and $22 \mathrm{m}$wide. Determine the time in which the level of water in the tank will rise by $7 \mathrm{cm}$.

Find the value of K

Water in a canal, $6 \mathrm{m}$ wide and $1.5 \mathrm{m}$ deep, is flowing at a speed of $4 \mathrm{km}/\mathrm{h}.$ ${\mathrm{K} \mathrm{m}}^2$ area it will irrigate in $10$ minutes if$8 \mathrm{cm}$ of standing water is needed for irrigation$?$

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