Question

Theradius of a cylinder is 5cm and its height is 10 cm .Find the curved surface area of the cylinder. ( = 3.14)

600 cm²


3140 cm²


314 cm²​

Answer 1

Answer

314cm²

step by step explanation

Given

• Radius of cylinder = 5cm

• Height of cylinder = 10cm

To find

• Curved Surface area of the cylinder

Solution

= Radius = 5cm

= Height = 10cm

Using Formula

C. S. A of cylinder = 2πrh

Putting values

=2×22 by 7×5×10

=2200÷7

=314.2cm²

Answer 2

Answer:

Diagram :

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5\cm}}\put(9,17.5){\sf{10\cm}}\end{picture}$

$\begin{gathered}\end{gathered}$

Given :

• ↠ Radius of cylinder = 5 cm
• ↠ Height of cylinder = 10 cm

$\begin{gathered}\end{gathered}$

To Find :

• ↠ Curved surface area of the cylinder

$\begin{gathered}\end{gathered}$

Concept:

★ Here the concept of Volume of Cylinder has been used. We are given that radius of cylinder is 5 cm and height of cylinder is 10 cm.We need to find the curved surface area of the cylinder.

★ So,We'll find the curved surface area of the cylinder by insert the values in the formula.

$\begin{gathered}\end{gathered}$

Using Formula :

$\bigstar{\underline{\boxed{\sf{CSA \: of \: cylinder = 2 \pi rh}}}}$

Here

• ↠ CSA = curved surface area
• ↠ π = 3.14
• ↠ r = radius
• ↠ h = height

$\begin{gathered}\end{gathered}$

Solution :

$\red\bigstar$ Here

• ↠ π = 3.14
• ↠ r = 5 cm
• ↠ h = 10 cm

$\begin{gathered}\end{gathered}$

$\red\bigstar$ Finding the curved surface area of cylinder

${\dashrightarrow{\pmb{\sf{CSA \: of \: cylinder = 2 \pi rh }}}}$

• Substuting the values

${\dashrightarrow{\sf{CSA \: of \: cylinder = 2 \times 3.14 \times 5 \times 10}}}$

${\dashrightarrow{\sf{CSA \: of \: cylinder = 6.28 \times 50}}}$

${\dashrightarrow{\sf{CSA \: of \: cylinder = \dfrac{628}{100} \times 50}}}$

${\dashrightarrow{\sf{CSA \: of \: cylinder = \dfrac{628}{\cancel{100}} \times \cancel{50}}}}$

${\dashrightarrow{\sf{CSA \: of \: cylinder = \dfrac{628}{2}}}}$

${\dashrightarrow{\sf{CSA \: of \: cylinder = \cancel{\dfrac{628}{2}}}}}$

${\dashrightarrow{\sf{CSA \: of \: cylinder = 314 \: {cm}^{2} }}}$

${\bigstar{\underline{\boxed{\sf{CSA \: of \: cylinder = 314 \: {cm}^{2}}}}}}$

∴ The curved surface area of cylinder is 314 cm².

$\begin{gathered}\end{gathered}$

Learn More :

$\red\bigstar$ Formulas related to SA & Volume :

$\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}$

$\begin{gathered}\end{gathered}$

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