Asked by Sudan Maharjan
An iron pipe of internal diameter 2.8 cm and uniform thickness 1 mm is melted and a solid cylindrical rod of the same length is formed. Find the diameter of the rod.
Answers
Answered by
Steve
The cross-section of the pipe has area
pi/4 (2.9^2-2.8^2) = 0.1425pi cm^2
The rod of radius r has area
pi r^2 cm^2
So, pi r^2 = 0.1425 pi
r=0.3775 cm
So, the diameter is 0.755 cm
pi/4 (2.9^2-2.8^2) = 0.1425pi cm^2
The rod of radius r has area
pi r^2 cm^2
So, pi r^2 = 0.1425 pi
r=0.3775 cm
So, the diameter is 0.755 cm
Answered by
Ekta gupta
Its answer is 1.08 cm diameter
Answered by
Ekta gupta
Internal diameter =2.8cm
Radius=1.4cm
Thickness =1mm=0.1cm
External radius =1.4cm+0.1cm=1.5cm
(V1) volume of hollow pipe =pie×h×(R+r)(R-r)=(22÷7 )×h×2.9×0.1=0.9hcm^2
(V) volume of rod with same length=pie×r^2×h=(22÷7)×r^2×h
V1=V
or,0.9h=(22÷7)×r^2×h
or,0.29=r^2
:.r=0.54cm
So,diameter of rod =2r=2×0.54=1.08cm
Radius=1.4cm
Thickness =1mm=0.1cm
External radius =1.4cm+0.1cm=1.5cm
(V1) volume of hollow pipe =pie×h×(R+r)(R-r)=(22÷7 )×h×2.9×0.1=0.9hcm^2
(V) volume of rod with same length=pie×r^2×h=(22÷7)×r^2×h
V1=V
or,0.9h=(22÷7)×r^2×h
or,0.29=r^2
:.r=0.54cm
So,diameter of rod =2r=2×0.54=1.08cm
Answered by
Adwan
Is the External Radius = Radius * thickness? How
Answered by
Mukunda paneru
Thanku very much.And fantastic job!
Answered by
Anonymous
Thanks a lot to solve this.This is one of the great aid to the students who are taking online class in this lockdown period.
Answered by
Purshotam yadav
Thanks
Answered by
Menu
Thanks a lot.
Answered by
Gauravpoudel365
Yes I GOT IT , THAKK YOU SO MUCH
Answered by
Lata tungeshwor
Thanks man
Answered by
Asim
Where does this radius 1 .4 come from?
Answered by
Asim
And where does these formulas from e.gPie×h×(R+r)(R-r)?
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