How many litres of water flow out of a pipe having an area of cross-section of $5\ cm^2$ in one minute, if the speed of water in the pipe is $30\ cm/sec$?
Given:
A pipe has an area of cross-section of $5\ cm^2$.
The speed of water in the pipe is $30\ cm/sec$.
To do:
We have to find the volume of water flow out of the pipe.
Solution:
Area of the cross-section of the pipe $= 5\ cm^2$
Speed of the water flow $= 30\ cm/sec$
Time period $= 1$ minute
Therefore,
Flow of water in $1$ minute $= 30 \times 60\ cm$
$= 1800\ cm$
Volume of water $= 1800 \times 5$
$= 9000\ cm^3$
$= 9000\ ml$
$=\frac{9000}{1000}\ l$
$=9 \mathrm{litres}$
Related Articles
- Water in a rectangular reservoir having base $80\ m$ by $60\ m$ is $6.5\ m$ deep. In what time can the water be emptied by a pipe of which the cross-section is a square of side $20\ cm$, if the water runs through the pipe at the rate of $15\ km/hr$.
- From a tap of inner radius $0.75\ cm$, water flows at the rate of $7\ m$ per second. Find the volume in litres of water delivered by the pipe in one hour.
- A Metallic pipe is 0.7 cm thick. Inner radius of the pipe is 3.5 cm and length is 5 dm. Find the total surface area.
- The inner diameter of a cylindrical wooden pipe is $24\ cm$ and its outer diameter is $28\ cm$. The length of the pipe is $35\ cm$. Find the mass of the pipe, if $1\ cm^3$ of wood has a mass of $0.6\ gm$.
- Water flows out through a circular pipe whose internal diameter is $2\ cm$, at the rate of $6$ metres per second into a cylindrical tank. The radius of whose base is $60\ cm$. Find the rise in the level of water in $30$ minutes?
- Water flows through a cylindrical pipe, whose inner radius is \( 1 \mathrm{~cm} \), at the rate of \( 80 \mathrm{~cm} / \mathrm{sec} \) in an empty cylindrical tank, the radius of whose base is \( 40 \mathrm{~cm} \). What is the rise of water level in tank in half an hour?
- The inner diameter of a cylindrical wooden pipe is \( 24 \mathrm{~cm} \) and its outer diameter is \( 28 \mathrm{~cm} \). The length of the pipe is \( 35 \mathrm{~cm} \). Find the mass of the pipe, if \( 1 \mathrm{~cm}^{3} \) of wood has a mass of \( 0.6 \mathrm{~g} \) .
- A water tank contains 400 litres of water. 120 litres of water is taken out of it. Find the percentage decrease in the amount of water.
- Water is flowing through a cylinderical pipe, of internal diameter 2 cm, into a cylinderical tank of base radius 40 cm, at the rate of 0.4 m/s. Determine the rise in level of water in the tank in half an hour.
- A rectangular tank is $80\ m$ long and $25\ m$ broad. Water-flows into it through a pipe whose cross-section is $25\ cm^2$, at the rate of $16\ km$ per hour. How much the level of the water rises in the tank in $45$ minutes.
- The difference between outside and inside surface areas of cylindrical metallic pipe \( 14 \mathrm{~cm} \) long is \( 44 \mathrm{~m}^{2} \). If the pipe is made of \( 99 \mathrm{~cm}^{3} \) of metal, find the outer and inner radii of the pipe.
- A solid cuboid of iron with dimensions $33\ cm \times 40\ cm \times 15\ cm$ is melted and recast into a cylindrical pipe. The outer and inner diameters of pipe are $8\ cm$ and $7\ cm$ respectively. Find the length of pipe.
- Water is flowing at the rate of \( 2.52 \mathrm{~km} / \mathrm{h} \) through a cylindrical pipe into a cylindrical tank, the radius of the base is \( 40 \mathrm{~cm} \). If the increase in the level of water in the tank, in half an hour is \( 3.15 \mathrm{~m} \), find the internal diameter of the pipe.
- A vessel in the shape of a cuboid contains some water. If three indentical spheres are immersed in the water, the level of water is increased by \( 2 \mathrm{~cm} \). If the area of the base of the cuboid is \( 160 \mathrm{~cm}^{2} \) and its height \( 12 \mathrm{~cm} \), determine the radius of any of the spheres.
- The dimensions of a solid iron cuboid are $4.4\ m\times \ 2.6m\times 1.0\ m.$ It is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. Find the length of the pipe.
Kickstart Your Career
Get certified by completing the course
Get Started