Math, asked by Aakashkalra, 3 months ago

the volume of cylinder is 39600 cm ³ and height is 14 cm. Find the lateral surface area and total surface area​

Answers

Answered by CczZusername
1

Answer:

Step-by-step explanation:

Right cylinder

Solve for lateral surface

AL≈2639.47cm²

h Height  

14

cm

V Volume  

39600

cm³

h

r

h

r

r

h

A

b

Using the formulas

AL=2πrh

V=πr2h

Solving forAL

AL=2hπV

h=2·14·π·39600

14≈2639.46886cm²


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charupriyablinkarmy: jo bhi h galat h
charupriyablinkarmy: the anwer is 2640cm^2 ,8297.14 cm^2
Answered by Flaunt
29

Given

Volume of Cyclinder is 39600cm³

height of cylinder is 14cm

To find

Lateral surface area and total surface area of the cylinder.

\sf\huge\bold{\underline{\underline{{Solution}}}}

Since,volume is given so,we first apply formula for volume of Cyclinder and find radius of the cylinder.

Volume of cylinder=πr²h

Volume of cylinder= 22/7×r²×14

↦39600= 22×r²×2

↦39600= 44r²

↦r²=39600÷44

↦r²=900

↦r=√900

↦r=30

hence,radius of Cyclinder is 30cm

Now,we have to find its total surface area and lateral surface area.

  • Lateral surface area of Cyclinder=2πrh
  • Total surface area of Cyclinder=2πr(r+h)

Lateral surface area of Cyclinder=2×22/7×30×14

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =44/7×30×14

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =44×30×2

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =44×60

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =2640cm²

Total surface area of Cyclinder=2×22/7×30(30+14)

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =44/7×30×44

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =44/7×1320

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:=58080/7

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =8297.14cm²

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