Solution:
The question is asking us to find which integer is closest to the cube root of 55. To get an idea of which integers might be close, let's consider the perfect cubes near 55. The cube of 3 is $$3^3 = 27$$, and the cube of 4 is $$4^3 = 64$$.Since 55 lies between 27 and 64, the cube root of 55 must lie between 3 and 4. Since 55 is closer to 64 than it is to 27, the cube root of 55 will be closer to 4 than to 3.Therefore, the integer closest to the cube root of 55 is 4.