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The total surface area of a solid cylinder is 616 square cm. If the ratio between its curved surface area and total surface area is 1:2; find the volume of

let radius =r cm and height=h cm 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= π7³=1078cm³