Question

the volume of right cricular clyinder is 2310cm³.if the radius of its base is 7cm find its height​

Answer 1

Given:

• Volume of a right circular cylinder is 2310 cm³.
• Radius of its base is 7 cm.

⠀

To find:

Height of circular cylinder.

formula used:

$\\\bigstar \: \: { \underline{\boxed{\frak{\purple{Volume~ of~ a~ Cylinder = \pi r^2h}}}}}$

Solution:

★ height of cylinder:

⠀

${\sf{:\implies{\pi r^2h = 2310}}}$

${\sf{:\implies{\dfrac{22}{7}\times 49\times h = 2310}}}$

${\sf{:\implies{height =\dfrac{2310}{22\times 7}}}}$

${\sf{:\implies{height =\dfrac{330}{22}}}}$

${\sf{:\implies{height =15 cm ²}}}$

$:\implies{\frak{ \pink{height = 15 cm²}}}\:\bigstar$

Hence, height of circular cylinder is 15 cm ² .

Answer 2

$\large{\underline{\sf{Solution-}}}$

GiveN:-

The volume of a right circular cylinder is 2310 cm³. is the Radius of its base is 7 cm. find its height

⠀

To finD:

Height of circular cylinder.

formulA RequireD:

$\pink{\bigstar} \: \: { \underline{\boxed{\tt\color{purple}{Volume~ of~ a~ Cylinder = \frak\color{blue}{\pi r^2h}}}}}$

SolutioN:

Height of cylinder:

⠀

${\sf{\longmapsto{\pi r^2h = 2310}}}$

${\sf{\longmapsto{\dfrac{22}{7}\times 49\times h = 2310}}}$

${\sf{\longmapsto{height =\dfrac{2310}{22\times 7}}}}$

${\sf{\longmapsto{height =\dfrac{330}{22}}}}$

${\sf{\longmapsto{height =15 cm ²}}}$

$:\implies{\tt\color{magenta}{height = 15 cm²}}$

$\bullet$ Hence,

height of circular cylinder is 15 cm ² .

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