Both a cone and a solid cone have equal
radii (r) and equal height (h) The volume
of each of them is
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For cylinder, we have
base radius=r, height=h
∴S1=Curved surface=2πrh
For cone, we have
l=r2+h2 and, S2=πrl=πrr2+h2
We have,
S2S1=58
⇒πrr2+h22πrh=58
⇒r2+h22h=58
⇒r2+h24h2=2564
⇒25h2=16r
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