Question

find the volume of the cylinder if its total surface area is 616 CM square and curved surface area is 308 CM square​

Answer 1

Step-by-step explanation:

First of all we have to find the value of radius and height .

then put the value on the volume formulae of cylinder

volume of cylinder = πr^2h

We obtain =. 1078 cm ^3

Answer 2

Answer:

TSA =616cm²

CSA = 308cm²

2πr(h+r)=616--(1)

2πrh     = 308---(2)

deviding eq(2) by eq(1)

2πr(h+r)/2πrh=616/308

2πr(h+r)/2πrh= = 2/1

 (h+r)/h   = 2/1   [ cancelling 2πr on both numeratoe and deno.]

 h+r   = 2h  [ on cross multiplication]

      r   = 2h-h

        r = h

from eq(2)

2πrh     = 308

2πr²     = 308

     πr²   = 154

       r²   = 154/ π

        r²   = (154×7)/22

        r²   = 49

        r    =  7

r=h=7cm

volume = πr²h

             = π7²×7

             =22/7 × 7²× 7

             = 22×7²

              =1078cm³