Question

find curved surface area of cylinder who's radius is 7 cm and height is 6 cm​

Answer 1

Answer:

A≈571.77cm²

Radius - 7cm

Height - 6cm

Answer 2

Answer:

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

• ~Radius of Cylinder = 7 cm
• ~Height of Cylinder = 6 cm

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

• ~Curved surface area of cylinder

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

$\circ\underline{ \boxed {\sf{Area of \: the \: curved \: surface = 2 {\pi}rh}}}$

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

${ \implies\sf{Area of \: the \: curved \: surface = 2 {\pi}rh}}$

• $\underline\frak{\pmb{Substituting \: the \: values }}$

${ : \implies\sf{Area of \: the \: curved \: surface = 2 \times { \dfrac{22}{7} } \times 7 \times6 }}$

${ : \implies\sf{Area of \: the \: curved \: surface = 2 \times { \dfrac{22} {\cancel{7} }} \times \cancel{7}\times6 }}$

${ : \implies\sf{Area of \: the \: curved \: surface = 2 \times 22\times6 }}$

${ : \implies\bf \red{Area of \: the \: curved \: surface = 264 \: {cm}^{2} }}$

$\large \star{\underline{\boxed{\frak{ \pmb {\purple{Area of \: the \: curved \: surface = 264 \: {cm}^{2} }}}}}}$

$\large\underline{ \sf \pmb {Diagram}}$

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{7}}\put(9,17.5){\sf{6}}\end{picture}$

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

✠ 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.

• ➟ $\bf\red{Cylinder}$ - A cylinder is a shape with two circular ends connected by a curved face.
• ➟ $\bf\red{Face}$ - A cylinder has three faces. Two are flat circles and the third is curved into a tube.
• ➟ $\bf\red{Edge}$ - 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.
• ➟ $\bf\red{Net}$ - The net of a cylinder is formed of two circles, with one attached to each end of a rectangle.
• ➟ $\bf\red{Circle}$ - The two circular ends are flat on the cylinder so look the same in the flat net.
• ➟ $\bf\red{Rectangle}$ - 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.