Math, asked by SplashNeko, 1 year ago

Can you pls solve the 19th question?? Please...​

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Answers

Answered by gargnakul67
4

Answer:

Step-by-step explanation:

Total surface area ofcylinder=462cm²

2πr(r+h)=462cm² --------------1

It is given that

CSA of cylinder=1/3 TSA of cylinder

2πrh=1/3×2πr(r+h)

h=1/3×(r+h)

3h=r+h

3h-h=r

2h = r

h=r/2

Put the value of h in 1

We get r = 7 cm

h=7/2cm

Volume of cylinder=πr²h

= 22/7×7×7×7/2

=539cm³


SplashNeko: hey, thanks!!
Answered by preeti9578
11

Answer:

Step-by-step explanation:

TSA=462cm²

CSA=1/3*462

       =154cm²

A.T.Q

CSA=1/3*TSA

1/3=CSA/TSA

1/3 =2πrh/2πr(r+h)                  (putting the formulas)

1/3=h/(h+r)

h+r=3h                                     (cross multiplication)

3h-h=r

2h=r

now,we know that

CSA=2πrh

154=2*22/7*2h*h                                (r=2h)

(154*7)/22*2=2h²

1078/44=2h²

24.5=2h²

24.5/2=h²

h²=12.25

h=3.5

now we know

r=2h

r=2*3.5

r=7

now,

volume=πr²h

            =22/7*(7)²*3.5

            =22*7*3.5

            =539cm³

HOPE IT HELPS:-)

MARK AS BRAINLIEST


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