a solid cubical block of copper, each edge is each 1.5 cm, is melted and recast into a cylindrical rod of a diameter 1.5 cm. find the length of the rod.
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Answer:
Step-by-step explanation:
Let the edge of the cube be x units
Volume of the cube = x³ units
Given,
this cube is melted and recast into a cylinder with base radius equal to half of the edge of the cube.
Also,
we know that
Volume of cube = volume of cylinder
Radius of the base = x/2 units
Let the height be h
Volume = πr²h
to find the ratio of height to the base
Radius = x/2
Height = 14x/11
x/2 : 14x/11
after calculation
= 11/28
Thus,
the ratio is 11 : 28
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