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} $ .
Given:

The inner diameter of a cylindrical wooden pipe is $24\ cm$ and its outer diameter is $28\ cm$. The length of the pipe is $35\ cm$.

$1\ cm^3$ of wood has a mass of $0.6\ g$.

To do:

We have to find the mass of the pipe.

Solution:

The inner diameter of the cylindrical wooden pipe $= 24\ cm$

This implies,

Inner radius $(r)=\frac{24}{2}$

$=12 \mathrm{~cm}$

The outer diameter of the cylindrical wooden pipe $= 28\ cm$

Outer radius $(R)=\frac{28}{2}$

$=14 \mathrm{~cm}$

Length of the pipe $(h)=35 \mathrm{~cm}$

Therefore,

Mass of the pipe used $=\pi h(\mathrm{R}^{2}-r^{2})$

$=\frac{22}{7} \times 35 (14^{2}-12^{2})$

$=22 \times 5(196-144)$

$=110 \times 52$

$=5720 \mathrm{~cm}^{3}$

Therefore,

Total mass of the pipe $=0.6 \times 5720 \mathrm{~g}$

$=3432 \mathrm{~g}$

$=3.432 \mathrm{~kg}$

Hence, the mass of the pipe is $3.432 \mathrm{~kg}$.

Related Articles 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 $0.6\ gm$.
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 iron pole having cylindrical portion \( 110 \mathrm{~cm} \) high and of base diameter \( 12 \mathrm{~cm} \) is surmounted by a cone \( 9 \mathrm{~cm} \) high Find the mass of the pole, given that the mass of \( 1 \mathrm{~cm}^{3} \) of iron is \( 8 \mathrm{gm} \).
The diameter of a metallic ball is \( 4.2 \mathrm{~cm} \). What is the mass of the ball, if the density of the metal is \( 8.9 \mathrm{~g} \) per \( \mathrm{cm}^{3} \) ?
A metal pipe is \( 77 \mathrm{~cm} \) long. The inner diameter of a cross section is \( 4 \mathrm{~cm} \), the outer diameter being \( 4.4 \mathrm{~cm} \) (see below figure). Find its(i) inner curved surface area,(ii) outer curved surface area,(iii) total surface area."\n
A cylindrical road roller made of iron is \( 1 \mathrm{~m} \) long. Its internal diameter is \( 54 \mathrm{~cm} \) and the thickness of the iron sheet used in making the roller is \( 9 \mathrm{~cm} \). Find the mass of the roller, if \( 1 \mathrm{~cm}^{3} \) of iron has \( 7.8 \mathrm{gm} \) mass. (Use \( \left.\pi=3.14\right) \)
In a hot water heating system, there is a cylindrical pipe of length \( 28 \mathrm{~m} \) and diameter \( 5 \mathrm{~cm} \). Find the total radiating surface in the system.
A copper wire, \( 3 \mathrm{~mm} \) in diameter, is wound about a cylinder whose length is \( 12 \mathrm{~cm} \), and diameter \( 10 \mathrm{~cm} \), so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be \( 8.88 \mathrm{~g} \mathrm{per} \mathrm{cm}^{3} \).
Find the perimeter of the rectangle.$l=35 \mathrm{~cm}, b=28 \mathrm{~cm}$
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.
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 given figure is made up of 10 squares of the same size. The area of the figure is \( 40 \mathrm{~cm}^{2} \). Find the perimeter of the figure.(1) \( 32 \mathrm{~cm} \)(2) \( 28 \mathrm{~cm} \)(3) \( 24 \mathrm{~cm} \)(4) \( 36 \mathrm{~cm} \)"\n
If the volume of a right circular cone of height \( 9 \mathrm{~cm} \) is \( 48 \pi \mathrm{cm}^{3} \), find the diameter of its base.
A farmer runs a pipe of internal diameter \( 20 \mathrm{~cm} \) from the canal into a cylindrical tank in his field which is \( 10 \mathrm{~m} \) in diameter and \( 2 \mathrm{~m} \) deep. If water flows through the pipe at the rate of \( 3 \mathrm{~km} / \mathrm{h} \), in how much time will the tank be filled?
If perimeter of the given figure is \( 68.3 \mathrm{~cm}, \) then the sum of \( x+y \) is(1) \( 8.6 \mathrm{~cm} \)(2) \( 8.1 \mathrm{~cm} \)(3) \( 9.6 \mathrm{~cm} \)(4) \( 9.8 \mathrm{~cm} \)"\n
Kickstart Your Career
Get certified by completing the course

Get Started