A farmer found in iron sphere of radius 18 cm in his field while ploughing thinking that it is of no use, he went to the iron smith and asked him to make a wire of length 108m from it after melting. find the diameter of the wire so formed.
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ततपुकसुपतचकर्प्चज्त्बहीजीडीडीगगी
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Step-by-step explanation:
Given,radius of sphere=18cm
then, volume of sphere=4/3πr^3.
=>4/3×22/7×18×18×18
=>88×1944/7 cm^3.
Now, sphere is melted and recast into wire of
length=108m=10800cm. (1 m=100cm)
volume of wire=volume of sphere
So,πr^2h =88×1944/7
22/7×r^2×10800=88×1944/7
r^2×237600/7=88×1944/7
r^2=88×1944/7×7/237600.
r=√18/25 =3√2/5.
diameter=2×radius
=2×3√2/5 =6√2/5....ans...
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