Question

the ratio of surface area and volume if the sphere of unit radius is​

Answer 1

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Formula

$\tt surface \: area \: of \: sphere = 4\pi \: r {}^{2} \\ \\ \tt \: volume \: of \: sphere = \frac{4}{3} \pi \: r {}^{3}$

Solution

$\\ \tt \implies ratio = \frac{4\pi \: r {}^{2} }{ \frac{4}{3}\pi \: r {}^{3} } \\ \\ \tt \implies ratio = \frac{12r}{4} \\ \\ \tt \implies \: ratio = 3r$

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Answer 2

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the ratio of surface area and volume if the sphere of unit radius is

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Formulae used :-

• Surface area of sphere = $4π r^2$
• Volume of sphere = $\frac{4}{3}π r^3$

solution :-

Surface area of sphere : Volume of sphere

$4π r^2$ : $\dfrac{4}{3}π r^3$

$\dfrac{4π r^2} {\dfrac{4}{3}π r^3}$

$3r : 1$

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