Find the weight of 25.5 meters of copper wire in kilograms, if one meter weighs 10 grams.
Answers
Answer:
In this we have to find the length of copper wire. We will find the length of copper wire by considering wire as a cylinder. Then by the volume of the cylinder we will find the length.
Complete step by step answer:
The figure of copper wire (cylindrical shape) with diameter is given below:
Given that the diameter of copper wire is 0.4 cm.
Radius of copper wire is 0.2 cm.
Also, given that one cubic cm of wire weights 8.4 grams.
Volume of copper wire of 11 kg = 18.4×11×1000
Volume of copper wire of 11 kg = 11000084cm3
Also, the wire has a cylindrical shape.
Volume of copper wire =πr2h
. Where r and h are radius and length of copper wire.
Hence, πr2h=11000084
π(0.2)2h=11000084
π
(
0.2
)
2
h
=
110000
84
.
Let the value of π
π
be 227
22
7
227(0.04)h=11000084
22
7
(
0.04
)
h
=
110000
84
By cross multiplication, we get
h=11000084227(0.04)
h
=
110000
84
22
7
(
0.04
)
h=500012(0.04)
h
=
5000
12
(
0.04
)
h=416.67(0.04)
h
=
416.67
(
0.04
)
h = 10416.75 cm.
Since, 1 cm = 0.01 m
By converting cm to m, we get
h = 104.1675 m
Hence the length of 11 kg copper wire is 104.1675 m
Step-by-step explanation:
Answer:
255g
Step-by-step explanation:
1m=10g
25m=25×10=250
0.5m=0.5×10=5
25.5m=250+5g
=255g