Math, asked by srinidhisiri38, 1 year ago

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

Answered by banurekhabaskaran
30

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


srinidhisiri38: thank-you .
Answered by sadiaanam
17

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=2\pir = 2*\pi *\frac{490}{2}=1540mm

So, total length of copper wire = 30*1540=46200mm

Therefore, volume of copper wire = \pi *4^{2}*46200=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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