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Question Number 59974 by vajpaithegrate@gmail.com last updated on 16/May/19

Answered by tanmay last updated on 16/May/19

lateral surface area=πrl  given cos45^o =(h/l)  l=(h/(cos45^o ))=h(√2)  tan45^o =(r/h)  r=htan45^o =h  lateral zurface area=πrl  =((22)/7)×h×h(√2)     =π×(20.025)^2 ×(√2)   ≈401(√2)  π  pls check...

$${lateral}\:{surface}\:{area}=\pi{rl} \\ $$$${given}\:{cos}\mathrm{45}^{{o}} =\frac{{h}}{{l}} \\ $$$${l}=\frac{{h}}{{cos}\mathrm{45}^{{o}} }={h}\sqrt{\mathrm{2}} \\ $$$${tan}\mathrm{45}^{{o}} =\frac{{r}}{{h}} \\ $$$${r}={htan}\mathrm{45}^{{o}} ={h} \\ $$$${lateral}\:{zurface}\:{area}=\pi{rl} \\ $$$$=\frac{\mathrm{22}}{\mathrm{7}}×{h}×{h}\sqrt{\mathrm{2}}\: \\ $$$$ \\ $$$$=\pi×\left(\mathrm{20}.\mathrm{025}\right)^{\mathrm{2}} ×\sqrt{\mathrm{2}}\: \\ $$$$\approx\mathrm{401}\sqrt{\mathrm{2}}\:\:\pi \\ $$$${pls}\:{check}... \\ $$

Commented by vajpaithegrate@gmail.com last updated on 16/May/19

thank u sir

$$\mathrm{thank}\:\mathrm{u}\:\mathrm{sir} \\ $$

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