from right circular cone of height 30cm a small come is cut off from the top by a plane parallel to the base if the volume of the small cone is 1/27of the volume of given find at what height above the base is the section made.
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Let the smaller cone have radius r and height h
And the radius 9f the original cone be R
Then,r/R=h/30
r=hR/30. (∆ocd~∆oab)
1/3πr2h=1/27×1/3πR2×30
1/3π(hR/30)2h=1/81πR2×30
h=30
Ac=(oa-oc)=30-10=20
And the radius 9f the original cone be R
Then,r/R=h/30
r=hR/30. (∆ocd~∆oab)
1/3πr2h=1/27×1/3πR2×30
1/3π(hR/30)2h=1/81πR2×30
h=30
Ac=(oa-oc)=30-10=20
rena9:
can u explain clearly
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