A copper wire of diameter 8mm is evenly wrapped over a cylinder of length 24cm and diameter 49cm find the length of the wire and the volume of the wire
Answers
Answer:
154cm, 77.44cu.cm
Step-by-step explanation:
Since the wire is wrapped around the cylinder, the length of the wire will be the circumference of the base circle of cylinder of radius 49/2 cm.
length of wire = 2*pi*r=2*22/7*49/2=22*7=154cm
wire radius = 4mm=0.4cm
volume of the wire in the form of cylinder is = 22/7*r^2*h =22/7*0.4*0.4*154 = 77.44 cu.cm
Answer:
The length of wire is 46200mm and volume of the wire is 2321088mm^3.
Step-by-step explanation:
As per the data given in the question
we have to find the length of the wire and the volume of the wire.
As per the question it is given that a copper wire of diameter 8mm is evenly wrapped over a cylinder of length 24cm and diameter 49cm.
Diameter of copper wire=8mm and radius = 4mm
Length of cylinder = 24cm =240mm
Diameter of cylinder = 49cm = 490mm
Number of turns of copper wire= 240/8=30
Length of wire in one turn=2r = 2*=1540mm
So, total length of copper wire = 30*1540=46200mm
Therefore, volume of copper wire = =2321088mm^3=2321.088cm^3
Hence, the length of wire is 46200mm and volume of the wire is 2321088mm^3.
For such type of question:
https://brainly.in/question/33633755
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