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Question Number 46821 by Raj Singh last updated on 01/Nov/18

Answered by tanmay.chaudhury50@gmail.com last updated on 01/Nov/18

πRL=1.1×x L=(√(R^2 +H^2 )) H=14m πR^2 =346.5 R^2 =((346.5×7)/(22))=110.25 R=10.5 L^2 =110.25+196=306.25 L=17.5 ((22)/7)×10.5×17.5=1.1×x x=((22×10.5×17.5)/(7×1.1))=2×15×17.5=525meter

$$\pi{RL}=\mathrm{1}.\mathrm{1}×{x} \\ $$$${L}=\sqrt{{R}^{\mathrm{2}} +{H}^{\mathrm{2}} }\: \\ $$$${H}=\mathrm{14}{m} \\ $$$$\pi{R}^{\mathrm{2}} =\mathrm{346}.\mathrm{5} \\ $$$${R}^{\mathrm{2}} =\frac{\mathrm{346}.\mathrm{5}×\mathrm{7}}{\mathrm{22}}=\mathrm{110}.\mathrm{25}\:\:{R}=\mathrm{10}.\mathrm{5} \\ $$$${L}^{\mathrm{2}} =\mathrm{110}.\mathrm{25}+\mathrm{196}=\mathrm{306}.\mathrm{25} \\ $$$${L}=\mathrm{17}.\mathrm{5} \\ $$$$\frac{\mathrm{22}}{\mathrm{7}}×\mathrm{10}.\mathrm{5}×\mathrm{17}.\mathrm{5}=\mathrm{1}.\mathrm{1}×{x} \\ $$$${x}=\frac{\mathrm{22}×\mathrm{10}.\mathrm{5}×\mathrm{17}.\mathrm{5}}{\mathrm{7}×\mathrm{1}.\mathrm{1}}=\mathrm{2}×\mathrm{15}×\mathrm{17}.\mathrm{5}=\mathrm{525}{meter} \\ $$

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