Answer:
the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.
Step-by-step explanation:
Surface area of larger cyclinder
Radius = 6cm
Height = 18cm
A = 2πrh + 2πr^2
= 2*3.14*6*18 + 2*3.14*6^2
= 678.24 + 226.08
= 904.32 cm
Smaller cyclinder (1/3 of the larger cyclinder)
Radius = 2cm
Height = 6cm
A = 2πrh + 2πr^2
= 2*3.14*2*6 + 2*3.14*2^2
= 75.36 + 25.12
= 100.48 cm
Comparing the surface area of the larger cyclinder and the smaller cyclinder
= 904.32 cm / 100.48 cm
= 9
This means, the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.
