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:

Step-by-step explanation:

Curved Surface area of a cylinder = 2πrh

= 2X 3.14X 9 Xh ( since diameter is 18, radius = 9)

A/Q,

     2X3.14X9Xh= 15,840,000

     h= 280,254.77

 

   

Answer 2

$\boxed{\huge{\sf{Correct \:Question\:-:}}}$

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

$\boxed{\huge{\sf{AnswEr-:}}}$

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 ,

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

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 ,

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

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