Question

The volume of a sphere is 36 pi cm2 . find
the surface area of sphere​

Answer 1

$\text{ \large \underline{ \orange{Question:-}}}$

• The volume of a sphere is 36 pi cm2 . find the surface area of sphere

$\text{ \large \underline{ \green{Given:-}}}$

• The volume of a sphere is 36πcm2

$\text{ \large \underline{ \pink{To Find:-}}}$

• find the surface area of sphere

$\text{ \large \underline{ \red{Solution:-}}}$

$\text{ \large \underline{ \blue{we know }}}$

$</p><p>\sf \: the \: surface \: area \: of \: sphere \: \: = 36\pi \\ \\ \sf \to \: \frac{4}{3}\pi {r}^{3} = 36\pi \\ \\ \sf \to \: \frac{4}{3} {r}^{3} = 36 \\ \\ \sf \to {r}^{3} = \frac{36 \times 3}{4} \\ \\ \sf \to \: {r}^{3} = 9 \times 3 \\ \\ \sf \to \: {r}^{3} = 27 \\ \\ \sf \green{r = 3}</p><p>$

$\sf \: total \: surface \: area \: = 4\pi {r}^{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 4\pi \times 3 \times 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ = 36\pi}$

$\sf \orange{the \: surface \: area \: of \: sphare \: is \: 36\pi}$

$\text{ \large \underline{ \purple{more information:-}}}$

• $\sf Tatal \:surface \:area \:=\: {2(lb+bh+lh)}^{2}$

• $\sf Lateral\: surface \:area\:= {2(l+b)\times h}^{2}$

• $\sf Area \:of\: four \:walls\:= {2(l+b)\times h }^{2}$

• $\sf Volume \:of \:cube \:={a}^{3}$

Answer 2

Answer:

the surface area of spehre=36x

-->4πr³=36π