Question

Find the curved surface area and the total surface area of the cylinder Whose (I) it's volume is 30800 cm³ and the radius of the base is 14 cm​

Answer 1

Answer:

C.S.A=4,400cm²

T.S.A=5,632cm²

Step-by-step explanation:

Given volume=30800cm³

πr²h=30800

22*14*14*h/7=30800

616h=30800

h=30800/616=50cm

C.S.A=2πrh

         =2*22*14*50/7

         =4,400cm²

T.S.A=2πr(r+h)

        =2*22*14(14+50)/7

        =2*22*14*64/7

        =5,632cm²

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Answer 2

Answer:

Step-by-step explanation:

volume of cylinder = π r² h

30800 = 22/7 x 14 x 14 x h

h = 50 cm

CSA of cylinder = 2π r h

=2 x 22/ 7 x 24 x 50

= 4400 cm²

TSA of cylinder = CSA of cylinder + 2(area of top and base)

= 4400 + 2 π r²

= 4400 + 2 x 22 / 7 x 14 x 14

= 4400 + 1232

= 5632 cm²

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