I think this question is best answered by looking at the respective epistemology(means or theory of knowledge) of Philosophy and Science. In Philosophy we attempt to answer questions using reasoning, such as logic or even imagination, this is known as rationalism -- based on the theory that the mind is capable of revealing truth. Science is based on empiricism --- we attempt to answer questions using the scientific method, using empirical methods of gathering information like measuring, then interpreting the data and drawing generalisations. The more measurable the phenomena the more scientific is considered the field --- like physics, chemistry and biology. Philosophers do not do that. This is why you may love Philosophy but not Science. I love Philosophy more, because I find the actual method of science of measuring everything and then mathematical analysis of the data --- boring! In Philosophy, I can just use my mind to come up with answers to questions through a process of intense contemplation or even through meditative insight.
The problem with Philosophy though is, you cannot really test the conclusions you have arrived at e.g. early natural philosophers in both India and Greece came up with atoms through reasoning, but they couldn't really test that atoms exist. It was not until Dalton that we actually were able to show atoms exist and proved it through measuring the weight of substances. Because philosophers could not prove atoms exist, there were equally a number of philosophers who rejected atoms. Today, nobody rejects atoms exist. So science has the ability to actually prove things, which philosophy doesn't. Hence, why today we have no need for natural philosophers anymore, all questions about nature are answered by scientists.
But there are some questions that science cannot answer like moral, aesthetic or existentialist questions for example because they are not measurable. These are questions that only Philosophy can attempt to answer and this is why Philosophy is still around. However, this could change as previously immeasurable phenomena becomes measurable. If for example, we could discover an actual moral law like a law of karma, then we would be able to measure how moral or immoral an action is. In Psychology, previous questions like 'what is beautiful?' which were considered philosophical questions, are now scientific questions as we can measure common properties of what is beautiful(like symmetry, smoothness etc) Recently, it has even become possible to measure subjective states like compassion and happiness.
The more and more refined and advanced Science becomes, the less relevant Philosophy will become.
