Question

If the radius of a cylinder is 14cm and the height is 5cm, then find the volume of this cylinder.(π=22/7).

​

Answer 1

A n s w e r

$\:\:$

G i v e n

$\:\:$

• Radius of cylinder = 14 cm

• Height of cylinder = 5 cm

$\:\:$

F i n d

$\:\:$

• Volume of cylinder

$\:\:$

S o l u t i o n

$\:\:$

$\underline{\bold{\texttt{Volume of cylinder :}}}$

$\:\:$

➠ πr²h ⚊⚊⚊⚊ ⓵

$\:\:$

Where ,

$\:\:$

• r = Radius of cylinder

• h = Height

$\:\:$

$\underline{\bold{\texttt{Volume of given cylinder :}}}$

$\:\:$

• r = 14

• h = 5

$\:\:$

⟮ Putting the above values in ⓵ ⟯

$\:\:$

➜ πr²h

$\:\:$

➜ $\sf \dfrac { 22 } { 7 } \times 14 \times 14 \times 5$

$\:\:$

➜ 22 × 2 × 14 × 5

$\:\:$

➜ 220 × 14

$\:\:$

➨ 3080 cu. cm.

$\:\:$

• Hence the volume of given cylinder is 3080 cu. cm.

$\:\:$

Additional information

$\:\:$

Total surface area of cylinder

$\:\:$

• 2πr(r + h)

$\:\:$

Where ,

$\:\:$

➻ r = Radius

➻ h = Height

$\:\:$

Curved Surface Area of cylinder

$\:\:$

• 2πrh

$\:\:$

Where ,

$\:\:$

➻ r = Radius

➻ h = Height

Answer 2

Hie Mate ✌️

Volume of the cylinder = 3080 cm³

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.

________________

★ 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 ❤️