Question

The curved surface area of a cylinder is 1584 sq. m and the diameter of the base is 18 cm. Find its height.​

Answer 1

Answer:

2800 m

Step-by-step explanation:

CSA of Cylinder = 2πrh

1584 = 2×22/7×(9/100)×h

h = (1584 ×7×100) / (22×2)

h = 2800 m

Answer 2

$\fbox\pink{A}\fbox\green{N}\fbox\pink{S}\fbox\green{W}\fbox\pink{E}\fbox\green{R}\pink{࿐}$

ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ-:

Given -:

• CSA or Curved Surface Area of Cylinder is 1584 sq. m

• The diameter of base is 18 m .

To Find -:

• The height of of cylinder.

Picture related to question-:

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

Now ,

$\boxed{\purple{\sf{CSA\:of\:cylinder\:= 2 \times \pi \times radius \: \times height }}}$

Here ,

• Radius -: d/2 -: 18/2 = 9 m

• Height-: ??

• CSA -: 1584 sq . m

• π -: 22/7

Now ,

$\pink{\sf{\rightarrow{ 1584 m^{2}\:=2 \times 22/7 \times 9 \times h }}}$

$\pink{\sf{\rightarrow{ 1584 \times 7 /2 \times 22 \times 9= h }}}$

$\pink{\sf{\rightarrow{ 72 \times 7 /2 \times 9= h }}}$

$\pink{\sf{\rightarrow{ 28= h }}}$

Therefore,

• H or height-: 28 m

Hence ,

$\boxed{\purple{\sf{Height\:of\:cylinder\:=28 m }}}$

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