Answer:
The mass of the smaller cylinder is 36 grams.
Step-by-step explanation:
Given that two similar cylinders have total surface areas of 45cm² and 20cm², if the larger has a mass of 81g, the following calculation must be performed to determine the mass of the smaller one:
45 = 81
20 = X
(20 x 81) / 45 = X
1620/45 = X
36 = X
Therefore, the mass of the smaller cylinder is 36 grams.