Question

if a volume and S.A of a sphere is numerically equal then find its radius ​

Answer 1

Radius is 3 cm

Pls mark as brainliest answer

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Volume of sphere = SA of sphere

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Radius = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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$\sf{\red{\boxed{\bold{Volume\:of\:sphere = \dfrac{4}{3}\pi r^3}}}}$

$\sf{\red{\boxed{\bold{SA \: of\: sphere= 4\pi r^2}}}}$

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• ATQ:-

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$\sf: \implies\: {\bold{ \dfrac{4}{3}\pi r^3 = 4\pi r^2}}$

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$\sf: \implies\: {\bold{ \dfrac{4}{3}r^3 = \dfrac{4\pi r^2}{\pi}}}$

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$\sf: \implies\: {\bold{ r^3 = \dfrac{4 r^2\times 3}{4}}}$

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$\sf: \implies\: {\bold{r^3 = 3r^2}}$

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$\sf: \implies\: {\bold{ \dfrac{r\times r\times r}{r\times r} = 3 }}$

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$\sf: \implies\: {\bold{ r = 3units}}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Radius = 3units