Home
Class 9
MATHS
The difference between outside and insid...

The difference between outside and inside surface of a cylindrical metallic pipe 14cm long is `44 c m^2` . If the pipe is made of 99cu centimetres of metal, find the outer and inner radii of the pipe.

Text Solution

Verified by Experts

given that `pi(R^2-r^2)h=99cm^3`
so,`(R+r)(R-r)=9/4`.....(1)
` 2pih(R-r)=44cm^2`
so,`(R-r)=1/2`.......(2)
from 1and 2 we have (R+r)`=9/2` and (R-r)`=1/2` after solving we get
R`=5/2cm`
r`=2cm`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A CUBOID AND CUBE

    RD SHARMA|Exercise All Questions|168 Videos
  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA|Exercise All Questions|128 Videos

Similar Questions

Explore conceptually related problems

The difference between outside and inside surfaces of a cylindrical metallic pipe 14cm long is 44cm^(2) .If the pipe is made 99cu centimetres of metal,find the outer and inner radii of the pipe.

The difference between the outside and inside surfaces of a cylindrical metallic pipe 14cm^(3) long is 44cm^(2). If the pipe is made of 99cm^(3) of metal,find the outer and inner radii of the pipe.

Knowledge Check

  • The difference between the outside and inside surfaces of a cylindrical metal pipe 14 cm long is 44" cm"^(2) . It the pipe is made of 99" cm"^(3) of metal, find the sum of the inner and outer radii of the pipe ?

    A
    `4.5` cm
    B
    `3.5` cm
    C
    2 cm
    D
    `5.5` cm
  • The outer curved surface area of a cylindrical metal pipe is 1100 m^(2) and the length of the pipe is 25 m. The outer radius of the pipe is _______.

    A
    8 m
    B
    9 m
    C
    7 m
    D
    6 m
  • Similar Questions

    Explore conceptually related problems

    The difference between outside and inside surface areas of cylindrical metallic pipe 14cm long is 44cm^(2). If the pipe is made of 99cm^(2) of metal,find the outer and inner radii of the pipe

    The difference between the outside and the inside surface area of a cylindrical pipe 14 cm long is 44 cm^2 . The pipe is made of 99 cm^3 of metal. If R is the outer radius and r is the inner radius of the pipe, then what is (R + r) equal to?

    A cylindrical metallic pipe is 14 cm long. The difference between the outside and inside surface is 44 cm^(2) . If the pipe is made up of 99 cubic cm of metal, find the outer and inner radii of the pipe.

    The difference between inside and outside surfaces of a cylindrical tube 14cm long is 88sq.cm. If the volume of the tube is 176 cubic cm, find the inner and outer radii of the tube.

    The difference between the outer and inner curved surface areas of a hollow right circular cylinder 14 cm long is 88\ c m^2 . If the volume of metal used in making the cylinder is 176\ c m^3 , find the outer and inner diameters of the cylinder. (Use pi=22//7 )

    How much metal sheet is required to prepare a cylindrical pipe 10 cm long and radius 7 cm?