Question

the ratio between the curved surface and the total surface of a cylinder is 1:2 find the volume of the cylinder given that its total surface area is 616 CM square

Answer 1

2πrh=2πr(r+h)
v=πrh
v=1077.77

Answer 2

Answer:

Step-by-step explanation: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