Question

find the volume of cylinder whose height and radius area 21cm and 2cm respectively​

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt Find\: the \:volume\: of \:cylinder\: whose\: height \:and\\\tt radius \:area \:21 \:cm\: and\: 2\:cm\: respectively.$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

• $\bf Height \:of \:the \:cylinder =21\:cm$
• $\bf Radius \:of \:the \:cylinder =2\:cm$

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

• $\bf Volume \:of \:the \:cylinder$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

${\pink {\underline {\bf {\pmb {Volume \:of \:the \:cylinder}}}}}$

${\blue {\boxed {\boxed {\boxed {\green {\pmb {V=\pi {r}^{2} h}}}}}}}$

• $\sf V=volume \:of \:the \:cylinder$
• $\sf r=radius \:of \:the \:cylinder$
• $\sf h=height \:of \:the \:cylinder$

${\underbrace {\overbrace {\pmb {\orange {Substitute \:the \:values}}}}}$

$\bf \implies V=\dfrac{22}{7}\times {\big(2\big)}^{2}\times 21$

$\bf \implies V=\dfrac{22}{\cancel{7}}\times 4\times \cancel{21}$

$\bf \implies V=22\times 4\times 3$

$\implies{\blue {\boxed {\boxed {\purple {\mathfrak {V=264\:{cm}^{3}}}}}}}$

${\underbrace {\red {\overline {\red {\underline {\red {\sf {\pmb {{\therefore} The\:volume \:of \:the \:cylinder \:is\:264\:{cm}^{3}}}}}}}}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

__________________________________________

$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$\sf Curved \:surface \:area \:of\:the \:cylinder =2 \pi rh$

$\sf Total \:surface \:area \:of\:the \:cylinder =2\pi r(r+h)$

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

Answer 2

Answer:

$\large \underline\red{\sf \pmb{Given}}$

• ➛ Height of Cylinder = 21 cm
• ➛ Radius of Cylinder = 2 cm

$\large \underline \red{\sf \pmb{To \: Find}}$

• ➛ Volume of Cylinder

$\large \underline \red{ \sf \pmb{Using \: Formula }}$

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

Where

• $\leadsto \tt\pi = \dfrac{22}{7}$
• $\leadsto\tt{r = radius \: of \: cylinder}$
• $\leadsto \tt{h = height \: of \: cylinder}$

$\large\underline\red{\sf\pmb{Solution}}$

$\implies{\sf {Volume \: of \: Cylinder = {\pi} {r}^{2} h}}$

• ⇒ Substituting the values

${\implies{\sf {Volume \: of \: Cylinder = { \dfrac{22}{7} } \times {2}^{2} \times 21}}}$

${\implies{\sf {Volume \: of \: Cylinder = { \dfrac{22}{\cancel{7}}} \times 2 \times 2 \times {\cancel{ 21}}}}}$

${\implies{\sf {Volume \: of \: Cylinder = {22\times 2 \times 2 \times 3 }}}}$

${\implies{\sf {Volume \: of \: Cylinder = {264 \: { cm}^{3} }}}}$

$\large \star\underline{\boxed{\sf \purple {Volume \: of \: Cylinder = {264 \: { cm}^{3} }}}}$

• ➛ Henceforth,The volume of Cylinder is 264 cm³.

$\large \underline \red{\sf \pmb{Know \: More }}$

✠ Cylinder

➣ A cylinder has two flat ends in the shape of circles. These two faces are connected by a curved face that looks like a tube. If you make a flat net for a cylinder, it looks like a rectangle with a circle attached at each end.

• ➠ Cylinder - A cylinder is a shape with two circular ends connected by a curved face.
• ➠ Face - A cylinder has three faces. Two are flat circles and the third is curved into a tube.
• ➠ Edge - An edge is the line where two faces meet. Cylinders have two edges that run around the two circular ends and connect with the curved face.
• ➠ Net - The net of a cylinder is formed of two circles, with one attached to each end of a rectangle.
• ➠ Circle - The two circular ends are flat on the cylinder so look the same in the flat net.
• ➠ Rectangle - The tube part of a cylinder looks like a rectangle in the flat net. To make the cylinder, it has to be curved around to follow the edges of the circular ends.

✠ Diagram of Cylinder

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{r}}\put(9,17.5){\sf{h}}\end{picture}$

• Request-Please see the answer from website Brainly.in.