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3 years ago

14

Write down a division with an answer of 0.713

1 answer:

chubhunter [2.5K]3 years ago

3 0

Notice, 3 decimals, so, we can just use 3 zeros, thus

$\bf 0.\underline{713}\implies \cfrac{0713}{1\underline{000}}\implies \cfrac{713}{1000}\implies 713\div 1000$

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The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

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$f(r,h)=\frac{1}{3}\pi r^2 h$

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$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

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And,

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Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

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Then,

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Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

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