can u explain
first answer will be marked as brainliest
Answers
Answer:
Length of the cylinder = 24 cm Diameter of copper wire = 4 mm = 0.4 cm
Therefore, the number of rounds of wire to cover the length of cylinder
Now, diameter of cylinder = 20 cm
Therefore, length of wire in one round = circumference of base of the cylinder = d cm
Length of wire for covering the whole surface of cylinder = length of wire in 60 rounds
Radius of copper wire = cm = 0.2 cm
Therefore, volume of wire = r2h
= 474.122 cu. cm
Weight of wire = volume × density = 474.122 × 8.68 gm = 4115.38 gm = 4.11538 kg 4.12 kg
Solution:-
It is assumed that one round of copper wire will cover 3 mm or 0.3 cm height of cylinder.
Number of rounds = Height of the cylinder/diameter of the wire
= 12/0.3
= 40 rounds
Now,
The length of the wire required in one round = Circumference of the base of the cylinder
Diameter of the cylinder = 10 cm, so the radius = 5 cm.
circumference = 2πr
= 2*π*5
Length of wire required in one round = 10π
Length of wire required in 40 rounds = 10π*40
= 400*22/7
= 8800/7
Length of the wire = 1257.14 cm
Radius of the wire = 0.3/2 = 0.15 cm
Volume of wire = Area of cross section of wire × length of the wire
= π*r² × 12.57
22/7 × (0.15)² × 1257.14
Volume of the wire = 88.898 cm³
Mass = Density × Volume
= 8.88 × 88.898
Mass = 789.41 gm
Hope it helps u