The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. find the volume of the cylinder if its total surface area is 616 CM square.
Answers
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AnWe 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=1078cm³We 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