The radius of a Metallic sphere is 6cm. By melting it a wire with diameter 2mm is cast. Find the length of the wire in metres.
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5
Answer:
volume of sphere is 4/3 πr³ = 4/3 π x 216 = 288π
diameter of wire/2 = radius = 1mm= 0.1cm so if volume of wire is 288π as it's curved from the sphere it's
288π = π (0.1)² X length
= 288/0.01 = 28800cm = 28.8m
Answered by
5
The length of the wire is 288 m
Step-by-step explanation:
radius of sphere = 6 cm
for cylindrical wire
diameter = 2 mm
radius = 1 mm = 0.1 cm
let the length of wire = x cm
then
volume of metallic sphere = volume of cylindrical wire'
288 = 0.01 × h
h =
h = 28800 cm = 288 m
hence ,The length of the wire is 288 m
#Learn more:
The radius of a metallic sphere is 6cm. It was melted to make a wire of diameter 0.2cm. Find the length of wire
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