Question

find the(i) volume.(ii)area of curved surface and (iii) total surface area of a cylinder having radius of the base 14cm and height 30cm.​

Answer 1

Step-by-step explanation:

Here, r = 14 cm and h = 30 cm

(i) Volume of the cylinder `= (pi r^(2)h)` cubic units

`= ((22)/(7) x 14 x 14 x 30) cm^(3) = 18480 cm^(3)`

(ii) Curved surface area of the cylinder `= (2pi rh)` sq units

`= ((2 x (22)/(7) x 14 x 30) cm^(2) = 2640 cm^(2)`

(iii) Total surface area of the cylinder

`= (2pirh + 2pi r^(2)) " sq units " = 2pi r(r + h)` sq units

`= {2 x (22)/(7) x 14 x (14 + 30)} cm^(2) = 3872 cm^(2)`

Answer 2

Answer:

• (i) Volume of the cylinder = 18,480cm²
• (ii)CSA(curved surface area) of the cylinder = 2640cm²
• (iii)TSA(Total surface area) of the cylinder = 3872cm²

Explanation:

In a cylinder,

• base radius $(r)$ = 14cm.
• height $(h)$ = 30cm.

Volume of the cylinder is given by,

$\boldsymbol{ = \pi {r}^{2} h}$

• $\rm Taking \: \pi \: as \: \dfrac{22}{7}$

$= \dfrac{22}{7} \times {(14)}^{2} \times 30$

$\rm = 18480 {cm}^{2}$

Now, calculating it's CSA(Curved surface area):-

CSA of a cylinder is given by,

$\boldsymbol{ = 2\pi rh}$

$= 2 \times \dfrac{22}{7} \times 14 \times 30$

$\rm = 2640 {cm}^{2}$

And also, it's TSA(Total surface area):-

TSA of a cylinder is given by,

$\boldsymbol{ = 2\pi r(r + h)}$

$= 2 \times \dfrac{22}{7} \times 14(14 + 30)$

$= 2 \times 22 \times 2(44)$

$\rm = 3872 {cm}^{2}$

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