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

Explanation:

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

QUESTION

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

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

ANSWER

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

GIVEN

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

3

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

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

TO\FIND

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

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

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

FORMULA USED

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

2

h

C.S.A.\ of\ Cylinder\ =2\pi rhC.S.A. of Cylinder =2πrh

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

SOLUTION

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