Question

4.The diameter of a cylinder is 28 cm and its height is 40 cm. Find the curved surface area, total surface area and the volume of the cylinder.

Answer 1

Given:

• Diameter of a cylinder = 28 cm

• Height of cylinder = 40 cm

To find out:

( i ) Find the Curved surface area of given cylinder?

( ii ) Find the total surface area of given cylinder ?

( iii ) Find the Volume of given cylinder ?

Formula used:

Curved surface area of cylinder = 2πrh

Total surface area of cylinder =2πr ( h + r )

Volume of cylinder = πr²h

Solution:

We have ,

Height, h = 40 cm

Radius = d/2 = 28/2 = 14 cm

Now,

( i ) Curved surface area of cylinder = 2πrh

= 2 × 22/7 × 14 × 40

= 44 × 2 × 40

= 44 × 80

= 3520 cm²

( ii ) Total surface area of cylinder = 2πr ( h + r )

= 2 × 22/7 × 14 ( 40 + 14 )

= 44 × 2 × 54

= 88 × 54

= 4752 cm²

( iii ) Volume of cylinder = πr²h

= 22/7 × 14² × 40

= 22/7 × 196 × 40

= 172480/7

= 24640 cm²

Answer 2

✯✯ QUESTION ✯✯

The diameter of a cylinder is 28 cm and its height is 40 cm. Find the curved surface area, total surface area and the volume of the cylinder..

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✰✰ ANSWER ✰✰

$\longmapsto\tt{Diameter\:of\:Cylinder=28cm}$

$\longmapsto\tt{Radius=\cancel\dfrac{28}{2}\longrightarrow{14cm}}$

$\longmapsto\tt{Height\:of\:Cylinder=40cm}$

1. Curved Surface Area of Cylinder..

$\small{\boxed{\bold{\bold{\pink{\sf{C.S.A\:of\:Cylinder=2\pi{rh}}}}}}}$

☛Putting Values : -

$\longmapsto\tt{2\times\dfrac{22}{\cancel{7}}\times{\cancel{14}}\times{40}}$

$\longmapsto\tt{2\times{22}\times{2}\times{40}}$

$\longmapsto\tt{\large{\boxed{\bold{\bold{\red{\sf{3530{cm}^{2}}}}}}}}$

_______________________

2. Total Surface Area of Cylinder..

$\small{\boxed{\bold{\bold{\orange{\sf{T.S.A\:of\:Cylinder=2\pi{r(h+r)}}}}}}}$

☛Putting Values : -

$\longmapsto\tt{2\times\dfrac{22}{\cancel{7}}\times{\cancel{14}}(40+14)}$

$\longmapsto\tt{2\times{22}\times{2(54)}}$

$\longmapsto\tt{2\times{22}\times{108}}$

$\longmapsto\tt{\large{\boxed{\bold{\bold{\green{\sf{4752{cm}^{2}}}}}}}}$

_______________________

3. Volume of Cylinder..

$\small{\boxed{\bold{\bold{\purple{\sf{Volume\:of\:Cylinder=\pi{{r}^{2}h}}}}}}}$

☛Putting Values : -

$\longmapsto\tt{\dfrac{22}{\cancel{7}}\times{\cancel{14}}\times{14}\times{40}}$

$\longmapsto\tt{22\times{2}\times{14}\times{40}}$

$\longmapsto\tt{\large{\boxed{\bold{\bold{\pink{\sf{24640{cm}^{3}}}}}}}}$