Question

${\huge{\underline{\underline{\mathfrak{QUESTION}}}}}$

The volume of a cylinder is 6538 cubic centimetres and its height is 28 cm. find its radius ​

Answer 1

${\huge{\underline{\underline{\mathfrak{QUESTION}}}}}$

The volume of a cylinder is 6538 cubic centimetres and its height is 28 cm. find its radius

${\huge{\underline{\underline{\mathbb{ANSWER}}}}}$

${\huge{\underline{\mathbb{GIVEN}}}}$

$\longmapsto\sf Volume\ of\ cylinder\ =\ 6538\ {cm}^{3}$

$\longmapsto\sf Height\ of\ cylinder\ =\ 28 cm$

${\huge{\underline{\mathbb{TO\FIND}}}}$

$\longmapsto\sf Radius\ of\ cylinder\ =\ ??$

${\huge{\underline{\mathbb{FORMULA\ USED}}}}$

$Volume\ of\ cylinder\ =\pi {r}^{2}h$

${\huge{\underline{\mathbb{SOLUTION}}}}$

Let the radius be r m

$According\ to\ given\ conditions$

$Volume\ of\ cylinder\=6538{cm}^{3}$

$=>\pi {r}^{2}h=6538$

$=>{r}^{2}=\frac{6538×7}{22×28}$

$=>r=\sqrt{72.25}$

Hence, radius= $\boxed{8.5}$

Answer 2

Answer:

⟼Volume of cylinder = 6538 cm3

\longmapsto\sf Height\ of\ cylinder\ =\ 28 cm⟼Height of cylinder = 28cm



\longmapsto\sf Radius\ of\ cylinder\ =\ ??⟼Radius of cylinder = ??

{\huge{\underline{\mathbb{FORMULA\ USED}}}}FORMULA USED

Volume\ of\ cylinder\ =\pi {r}^{2}hVolume of cylinder =πr2h

{\huge{\underline{\mathbb{SOLUTION}}}}SOLUTION

Let the radius be r m

According\ to\ given\ conditionsAccording to given conditions



=>\pi {r}^{2}h=6538=>πr2h=6538

=>{r}^{2}=\frac{6538×7}{22×28}=>r2=22×286538×7

=>r=\sqrt{72.25}=>r=72.25

Hence, radius= \boxed{8.5}8.5