Question

if the ratio between csa and tsa of cylinder is 1:2 then find the ratio between radius and height

Answer 1

Hi ,

The dimensions of the cylinder are

Radius = r

Height = h units

CSA of the cylinder = 2πrh

TSA = 2πr( r + h )

According to the problem given,

CSA/ TSA = 1/2

2πrh/ 2πr( r + h ) = 1/2

h / ( r + h ) = 1/2

2h = r + h

2h - h = r

h = r

r = h

r / h = 1/1

Therefore ,

r : h = 1 : 1

I hope this helps you.

:)

Answer 2

Step-by-step explanation:

CSA=1x. TSA=2x

CSA=2πrh =1x

TSA=2πr(r+h)=2x

CSA/TSA=2πrh/2πr(r+h)

1x/2x=2πrh/2πr(r+h)

now cut the x in both side and 2πr in both side

so,

1/2=h/(r+h)

now take the h in rhs to lhs ...

so,

1/2=2.

2×h=r+h

2h=r+h

now take rhs h to lhs...

so,

2h-h=r

h=r=h/r=1/1

hence ratio of radius and height= 1:1