Question

If the volume of an cylinder is 700 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

1️⃣ 70 cm
2️⃣ 7 cm
3️⃣ 700 cm
4️⃣ 7 sqcm​

Answer 1

Given : Volume of an cylinder is 700 cm³ and the area of the base is 100 cm² .

Need To Find ; The Length or Height of Cylinder .

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❍ Let's consider the Length or Height of Cylinder is h cm .

$\dag\frak{\underline { As,\;We\:know\:that \::}}$

$\star\boxed {\pink{\sf{ Curved \:Surface \:area\:_{(Cylinder)} = \pi r^{2} h }}}$

And ,

$\star\boxed {\pink{\sf{ \:Area\:_{(Circle)} = \pi r^{2} }}}$

Where ,

• r is the Radius of Circle and Cylinder & h is the Height or Length of Cylinder & $\pi =\dfrac{22}{7}$

Given that ,

• Area of Base Circle of Cylinder is 100 cm²

Or ,

• $\pi$ r² = 100 cm²

⠀⠀⠀⠀⠀⠀$\underline {\bf{\star\:Now \: By \: Substituting \: the \: known\: Values \::}}$

$\qquad \quad :\implies\sf{ 700 = \pi r^{2} h }$

• $\pi$ r² = 100 cm²

$\qquad \quad :\implies\sf{ 700 = 100( h) }$

$\qquad \quad :\implies\sf{ \cancel {\dfrac{700}{100}} = h }$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  h = 7\: cm}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm { Hence,\:Length \:of\:Cylinder \:is\:\bf{7\: cm}}}}$

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Answer 2

✬Question✬

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet$ If the volume of an cylinder is 700 cubic cm and the area of the base is 100 sq.cm what is the length of the cylinder ?

✬To Find✬

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet$ Length of the cylinder = ?

✬Given✬

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet$ Volume of cylinder is 700 cubic cm.

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet$ Area of the base of cylinder is 100 sq cm.

✬Solution✬

$\: \: \: \: \: \: \: \: \: \: \longmapsto \sf{Area \: of \: base \: of \: cylinder = \pi \: {r}^{2}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \longrightarrow \sf{Volume \: of \: the \: cylinder = \pi \:{r}^{2}h }$

$\rm \bold{Let \: us \: consider \: that, }\\ </p><p> \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet \sf{\: h = length \: of \: the \: cylinder}$

$\: \: \: \: \: \: \: \: \to \sf{Volume \: of \: cylinder = Area \: of \: base \: of \: the \: cylinder \times h}$

$\: \: \: \: \: \: \: \: \to \sf{700= 100 \times h}$

$\: \: \: \: \: \: \: \: \to \sf{h= \cancel\frac{700}{100}}$

$\: \: \: \: \: \: \: \: \: \to\sf{h = 7} \: cm$

$\rm{Therefore,The \: length \: of \: the \: cylinder = h = 7cm.}$