Question

The ratio between lateral surface area and total surface area of a cylinder is 1:2 .If total surface is 616 square cm .Find the volume of the cylinder .

Answer 1

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Answer 2

We have curved surface area= 2π*r*h

we have the circular surface  area= 2πr²

ATQ        2πr(h+r)= 616      ---(1)

        and  2*2πrh= 2πrh+ 2πr²

                            ⇒      h=r

Substituting value of h in (1)

                 we have 4πr²=616

                              ⇒   r²=59

                              ⇒   r=7

Volume of the cylinder is

                             ⇒  πr².h= πr³

                           

                             ⇒ = πr³=1078cm³