13) The diameter of the base of metallic cone is
2 cm and height is 10 cm. 900 such cones are
melted to form 1 right circular cylinder whose
radius is 10 cm. Find height of the right circular
cylinder so formed.
face area of a sphere
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Answer:
Height Of cylinder = 120cm
Explanation:
Since, the basic rule to solve this is
*VOLUME IS NEVER CHANGED*
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area can be changes but Volume can never.
So,
since the volume of cone is :-
=> 1/3πr²h
=> 1/3 π 2² x10
=> 40/3π cm³ is the area of one cone.
So, area of 900 cones.
=> 12000πcm³
Now, equating this by
volm of cylinder.
πR²H= 12000π (AREA OF CYLINDER) ==>> πR²H
=> R²H=12000 (π cancelled)
=> Radius given is 10cm of cylinder.
=> 10²H=12000
=> H= 12000/100
=>H= 120cm.
also, check attachment!
Attachments:
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