Question

# Quality Question
@ Surface Are And Volumes

A right circular cylinder with base radius 14 cm, height 35 cm​,
Find the volume, CSA, TSA of right circular cylinder.
​

Answer 1

$\large \bf \clubs \:  Given :-$

For A Right Circular Cylinder :

• Base Radius , r = 14 cm

• Height , h = 35 cm

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$\large \bf \clubs \:   To  \: Find :-$

${\begin{cases} \:  \: \text{CSA \: of \: Cylinder } \\ \text{ TSA \: of \: Cylinder } \\  \text{ Volume \: of \: Cylinder} \end{cases}}$

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$\large \bf \clubs \:   Main \:  Formulas  :-$

${\begin{cases} \:  \: \text{CSA \: of \: Cylinder }  = 2\pi \text{rh}\\ \text{ TSA \: of \: Cylinder } = 2\pi \text{r(r + h)} \\  \text{ Volume \: of \: Cylinder} = \pi   {r}^{2} \text{h} \end{cases}}$

Where ,

• r = Base Radius of Cylinder

• h = height of Cylinder

• $\pi =  \dfrac{22}{7}$

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$\large \bf \clubs \:   Solution  :-$

We Have ,

• r = 14 cm

• h = 35 cm

✏  Calculating CSA of Cylinder :

Using Formula of CSA

$\text{CSA =2πrh } \\  \\  = 2 \times  \frac{22}{7}  \times 14 \times 35 \\  \\  =44\times70\\\\ \purple{ \Large :\longmapsto  \underline {\boxed{{\bf CSA = 3080 cm^2} }}}$

✏  Calculating TSA of Cylinder :

Using Formula of TSA

$\text{TSA =2πr(r + h) } \\  \\  = 2 \times  \frac{22}{7}  \times 14 (14 + 35)\\  \\  =2 \times  \frac{22}{7}  \times 14 \times 49\\\\ \purple{ \Large :\longmapsto  \underline {\boxed{{\bf TSA = 4312 cm^2} }}}$

✏ Calculating Volume of Cylinder :

Using Formula of Volume

$\text{Volume =πr²h } \\  \\  =  \frac{22}{7}  \times (14 {)}^{2}  \times 35 \\  \\  =\frac{22}{7}  \times 196\times 35 \\\\ \purple{ \large :\longmapsto  \underline {\boxed{{\bf Volume = 21560 cm^3} }}}$

Hence ,

$\pink{{\begin{cases} \:  \: \bf{CSA \: of \: Cylinder }=3080cm^2 \\ \bf{ TSA \: of \: Cylinder }=4312 cm^2 \\  \bf{ Volume \: of \: Cylinder}=21560cm^3 \end{cases}}}$

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Answer 2

Given :-

A right circular cylinder with base radius 14 cm, height 35 cm​,

To Find :-

Find the volume, CSA, TSA of right circular cylinder

Solution :-

◼ F i n d i n g V o l u m e

Volume = πr²h

Volume = 22/7 × (14)² × 35

Volume = 22/7 × 14 × 14 × 35

Volume = 22 × 2 × 14 × 35

Volume = 44 × 14 × 35

Volume = 21560 cm³

◼ F i n d i n g C S A

CSA = 2πrh

CSA = 2 × 22/7 × 14 × 35

CSA = 2 × 22 × 2 × 35

CSA = 88 × 35

CSA = 3080 cm²

◼ F i n d i n g T S A

TSA = 2πr(r + h)

TSA = 2 × 22/7 × 14(14 + 35)

TSA = 2 × 22 × 2(49)

TSA = 88 × 49

TSA = 4312 cm²