Question

The curved surface area of cylinder is 440cm square and it's radius is 5 cm .find its height​

Answer 1

Answer:

$\red\bigstar \boxed{\boxed{\boxed {Height\: of \: the \: cylinder = 14cm.}}}$

  SOLUTION  

Given

Curved Surface Area of Cylinder (CSA) = 440 cm².

Radius(r) of the cylinder = 5 cm.

To Find

We have to find the height of the cylinder.

ANSWER

Let us assume that the height of the cylinder is 'h' cm .

Formula of CSA of cylinder = 2πrh.

Here, CSA = 440 cm².

$\implies$ 2πrh = 440$\longrightarrow$ (1)

On putting the value of π and r in (1) , we get

$\sf 2*\dfrac{22}{7} *5*h = 440$

2 × 22 × 5 × h = 440 × 7

220 × h = 3080

$\sf h = \dfrac{3080}{220}$

$\red\bigstar$ h = 14cm.

  THE CYLINDER IS:-  

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5cm}}\put(9,17.5){\sf{14cm}}\end{picture}$