A cone has a circular base of radius 15cm.Given that the total surface area of cone is 1000cm, find slant height.
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radius of the circular base of the cone,r=15 cm
total surface area = curved surface area of the cone + area of the circular base
1000 cm^2=pi*r*l + pi*r*r (l=slant height)
1000=pi*r(l+r)
1000=3.142*15(l+15)
1000/(3.142*15)=l+15
21.22=l+15
Therefore , l(slant height)=6.22 cm
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