Question

The ratio of
curved surface
area to the tota
surface area of a.
right circular
cylinder is 1:2. Find
the volume of the
cylinder, if it's total
surface area is 616
sq.cm .(use
π=22/7).​

Answer 1

Step-by-step explanation:

let let radius is equals to r centimetre and height is equals to h cm .

we have curved surface area =2πrh

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 cylinder is πr².h=πr³=π7³=1078cm³

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