Question

The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio of their curved surface areas

Answer 1

18.852:50.272

Explanation:

Step one:

given

The radii of two right circular cylinders are in the ratio 3 : 4

r1= 3

r2= 4

Their heights are in the ratio 1 : 2

h1= 1

h2= 2

Step two:

The expression for the curve surface area is

CSA= 2πrh

CAS1= 2πr1h1

CAS1= 2*3.142*3*1

CAS1= 18.852

CAS2= 2πr2h2

CAS2= 2*3.142*4*2

CAS1= 50.272

The ratio of their curved surface areas

=18.852:50.272