Question

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. Find the voume of the cylinder, if its total surface area is 616cm square ​

Answer 1

Answer:

CSA of cylinder=2πrh

TSA of cylinder=2πr(h+r)

Step-by-step explanation:

given CSA/TSA=1/2

given TSA=616 cm^2

V of cylinder=πr^2h

2πrh/2πr(h+r)=1/2

h/h+r=1/2

h+r=2h

r=h  -----1

so now TSA given as 616 cm^2

2πr(h+r)=616

from 1 h=r

2πr(r+r)=616

4πr^2=616

4*3.14*r^2=616

r^2=616/12.56

r^2=49.28

which gives

r^2=49   (round off)

r=7 cm

since r=h

h=7  cm

now volume V=πr^2h

V=3.14*7*7*7

V=3.14*343

V=1077.02 cm^3

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