Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius =
= = 3 in
Diameter of cylinder B = 9 in,
its radius =
= = 4.5 in
Thus,
a. circumference of a circle = 2r
Circumference of cylinder A = 2r
= 2 x x 3
= 6 in
Circumference of cylinder B = 2r
= 2 x x 4.5
= 9
Ratio of their circumference =
=
= 2:3
b. The surface area of a cylinder = 2rh
the surface area of cylinder A = 2rh
= 6h
the surface area of cylinder B = 2rh
= 9h
The ratio of their surface areas =
=
= 2:3
c. Volume of a cylinder = h
volume of cylinder A = h
= x
x h
= 9h
volume of cylinder b = h
= x
x h
= 20.25h
The ratio of their volume =
=
= 4:9