Question

If the radius of a cylinder is 14cm and the height is 5cm, then find the volume of this cylinder.
$(\pi = \frac{22}{7} )$

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Answer 1

$\\\;\underbrace{\underline{\sf{Understanding\;the\;Question\;:-}}}$

Here the concept of Volume of Cylinder has been used. We are given the dimensions of the cylinder. We can apply these values in the formula to find the answer.

Let's do it !!

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★ Formula User :-

$\\\;\boxed{\sf{Volume\;of\;Cylinder\;=\;\bf{\pi r^{2}\:h}}}$

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★ Solution :-

Given,

» Radius of the cylinder = r = 14 cm

» Height of the cylinder = 5 cm

» Value of π = 22/7

Now using the formula of Volume of Cylinder,

$\\\;\;\displaystyle{\sf{:\rightarrow\;\;Volume\;of\;Cylinder\;=\;\bf{\pi r^{2}\:h}}}$

By applying values in this formula, we get,

$\\\;\;\displaystyle{\sf{:\Longrightarrow\;\;Volume\;of\;Cylinder\;=\;\bf{\dfrac{22}{7}\;\times\;(14)^{2}\;\times\;5}}}$

$\\\;\;\displaystyle{\sf{:\Longrightarrow\;\;Volume\;of\;Cylinder\;=\;\bf{\dfrac{22}{7}\;\times\;14\;\times\;14\;\times\;5}}}$

$\\\;\;\displaystyle{\sf{:\Longrightarrow\;\;Volume\;of\;Cylinder\;=\;\bf{22\;\times\;14\;\times\;2\;\times\;5}}}$

$\\\;\;\displaystyle{\sf{:\Longrightarrow\;\;Volume\;of\;Cylinder\;=\;\bf{\green{3080\;\;cm^{3}}}}}$

$\\\;\underline{\boxed{\tt{Volume\;\;of\;\;Cylinder\;=\;\bf{\blue{3080\;\;cm^{3}}}}}}$

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★ More Formulas to know :-

$\\\;\sf{\leadsto\;\;Volume\;of\;Cone\;=\;\dfrac{1}{3}\:\pi\:r^{2}h}$

$\\\;\sf{\leadsto\;\;Volume\;of\;Hemisphere\;=\;\dfrac{2}{3}\:\pi\:r^{3}}$

$\\\;\sf{\leadsto\;\;Volume\;of\;Hemisphere\;=\;\dfrac{4}{3}\:\pi\:r^{3}}$

$\\\;\sf{\leadsto\;\;Volume\;of\;Cube\;=\;(Side)^{3}}$

$\\\;\sf{\leadsto\;\;Volume\;of\;Cuboid\;=\;Length\;\times\;Breadth\;\times\;Height}$

Answer 2

Hie Mate ✌️

Step-by-step explanation:

Given:

Radius of the cylinder = 14 cm

Height of the cylinder = 5 cm

To find:

Volume of the cylinder.

Solution:

Radius (r) = 14 cm

Height (h) = 5 cm

We know that,

Volume of cylinder=πr

⟹Volume of the cylinder=

7

22

×(14)

2

×5cm

3

⟹Volume of the cylinder

×14×14×5cm

3

⟹Volumeofthecylinder=22×2×14×5cm

⟹Volumeofthecylinder=3080cm

Therefore, the volume of the cylinder is 3080 cm³.

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★ Additional Info :

Volume of cylinder = πr²h

T.S.A of cylinder = 2πrh + 2πr²

Volume of cone = ⅓ πr²h

C.S.A of cone = πrl

T.S.A of cone = πrl + πr²

Volume of cuboid = l × b × h

C.S.A of cuboid = 2(l + b)h

T.S.A of cuboid = 2(lb + bh + lh)

C.S.A of cube = 4a²

T.S.A of cube = 6a²

Volume of cube = a³

Volume of sphere = 4/3πr³

Surface area of sphere = 4πr²

Volume of hemisphere = ⅔ πr³

C.S.A of hemisphere = 2πr²

T.S.A of hemisphere = 3πr

-StunningBabe27 ❤️