the diameter of metallic sphere is 6m. the sphere is melted and drawn into a wire of uniform cross section. if the length of wire is 36cm. find its radius
Answers
Answered by
1
diameter of sphere=D=6m
radius of sphere=R=3m=300cm
length of wire=h=36cm
ATQ,
volume of sphere=volume of wire(cylinder)
4/3πR³=πr²h
4R²=3r²h
4×300×300=3×r²×36
360000/3×36=r²
r²=10000/3
r=√(10000/3)
r=100/√3 cm
radius of sphere=R=3m=300cm
length of wire=h=36cm
ATQ,
volume of sphere=volume of wire(cylinder)
4/3πR³=πr²h
4R²=3r²h
4×300×300=3×r²×36
360000/3×36=r²
r²=10000/3
r=√(10000/3)
r=100/√3 cm
Similar questions