Question

: Find the volume of a sphere of radius 11.2 cm​

Answer 1

V≈5884.95

r Radius

11.2

Answer 2

Given :

$\quad \quad\quad \small \sf \: \bold{Radius} \: of \: the \: \bold{sphere},r \leadsto \: \boxed{ \bf 11.2 \: cm }$

To Find :

$\quad \quad\quad \small \sf \: \bold{Volume} \: of \: the \: \bold{sphere} \leadsto \: \boxed{ \bf ? }$

Required Formula :

$\quad \quad\quad \small\bigstar {\underline {\boxed { \bf { \bf \: Volume \: of \: a\: sphere \: \tt\blue➦ \: \bf\frac{4}{3} \bold{\pi }{r}^{3} }}}} \bigstar$

Substitution :

$\small { \bf { \sf \: Volume \: of \: a\: sphere \: \tt\red \leadsto \: \bf\frac{4}{3} \bold{\pi }{r}^{3} }}$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{4}{3} \times { \frac{22}{7} } \times {(11.2)}^{3}$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{4}{3} \times { \frac{22}{ \cancel7} } \times { \cancel{11.2} {}^{1.6} } \times 11.2 \times 11.2$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{4}{3} \times 22 \times 1.6 \times 11.2 \times 11.2$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{4}{3} \times 22 \times 1.6 \times 125.44$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{4}{3} \times 22 \times 200.704$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{4 \times 22}{3} \: \times 200.704$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{88}{3} \times 200.704$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{88 \times 200.704}{3}$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf\frac{17661.952}{3}$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: \bf 588.73173$

$\: \quad \quad \quad \quad \quad \quad \small\tt\red \leadsto \: { \underline{\boxed{ \bf \purple{588.7}32 \: {cm}^{3}}}}$

$\small \sf Hence,we \: got \: the \: volume \: of \: a \: sphere \\ \small \sf which \: is \: \red{ 588.732 \: cm³} \: \: \: \: \: \: \quad \quad \quad \: \: \: \: \: \: \: \: \:$

Note :

$\small \sf \: You\: can \: also \: write \: \green{588.73173 \: cm³} (approx) \: \\ \small \sf or \: \red{588.732 \: cm³} \: both \: the \: values \: are \: correct \: \: \:$

More formulae :

• $\small \sf \: Volume \: of \: a \: Cuboid \large\leadsto \small \boxed{ \bf l \times b \times h}$

• $\small \sf \: Volume \: of \: a \: Cube \large\leadsto \small \boxed{ \bf {a}^{3} }$

• $\small \sf \: Volume \: of \: a \: Cylinder \large\leadsto \small \boxed{ \bf \pi {r}^{2}h }$

• $\small \sf \: Volume \: of \: a \:Cone\large\leadsto \small \boxed{ \bf \frac{1}{3}\pi r {}^{2} h }$

• $\small \sf \: Volume \: of \: a \: Sphere \large\leadsto \small \boxed{ \bf \frac{4}{3} \pi r {}^{3} }$

• $\small \sf \: Volume \: of \: a \: Hemisphere \large\leadsto \small \boxed{ \bf \frac{2}{3}\pi {r}^{3} }$

$\quad \quad \quad \mathfrak❀ \: \mathfrak {\color{orange}{ iTzShInNy}}\: ❀$