The radius and height of a cylinder are in the ratio 7:2.If the volume of the cylinder is 8316cm cube. from nd the total surface area of the cylinder.
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Let r,h be radius & hight of cylinder
⇒volume=πr2h,Total surface area (T.S.A)=2πr(h+r)
Given. hr=27⇒h=72r
Volume =πr2h=8316⇒πr2(72r)=8316
⇒r3=2×228316×7×7=2×2273×1188=73×33
⇒r=7×3=21cm⇒h=72×21=6cm
T.S.A=2πr=(h+r)=2×722×21(6+21)=44×3×27
=3564cm2
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