Question

tex]{\huge{\underline{\underline{\mathfrak{QUESTION}}}}}[/tex]

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

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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 and the curved surface area.

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

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

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

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

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

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

$\longmapsto\sf Curved\ Surface\ Area\ =\ ???$

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

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

$C.S.A.\ of\ Cylinder\ =2\pi rh$

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

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= $\boxed{8.5}$

Than, Curved surface area =2\pi rh

Answer 2

Step-by-step explanation:

Let the radius be r m

According\ to\ given\ conditionsAccording to given conditions

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

= > \pi {r}^{2}h=6538=>πr

2

h=6538

= > {r}^{2}=\frac{6538×7}{22×28}=>r

2

=

22×28

6538×7

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

72.25

Hence, radius= \boxed{8.5}

8.5

Than, Curved surface area =2\pi rh