If the volume of an cylinder is 700 cubic centimeters and the area of

1.	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 cm2️⃣ 7 cm3️⃣ 700 cm4️⃣ 7 sqcm
Answer» 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 . ⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ ❍ 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, ⠀⠀⠀⠀⠀ $\therefore {\underline{ \mathrm { Hence,\:Length \:of\:Cylinder \:is\:\bf{7\: cm}}}}\\$ ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

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 cm2️⃣ 7 cm3️⃣ 700 cm4️⃣ 7 sqcm

Answer»

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 ,

Or ,

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

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

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

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

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

Therefore,

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

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