At a base level lifting for strength and muscle have a lot overlap in the way they are trained. This is because, all else being equal, strength scales directly with the amount of lean tissue you have.

So what is the factor that helps build lean tissue? It is the number of sets or weekly volume of exercise for the specific muscle group.

Where the two goals diverge is that training for strength also involves a neural component. The key to building strength neurally is intensity or load. Basically you need heavy weight.

So to maximize strength and hypertrophy together you would need enough volume to maximize your results, using heavy weights, without over-training. 

This is where the two goals diverge, because for building muscle, sets anywhere in the 6-30 rep range work best, while for strength most of your reps should be in the 1-5 rep range. Training for strength also takes longer because you will have to wait longer between sets in order to recover after the heavy load and still be able to work at close to maximal strength levels. 

It is possible to to get in enough volume at high loads in order to maximize both strength and hypertrophy, however you would be in the gym for up to three hours every day and it would take a huge toll on your joints. 

If you want to maximize muscle lift in the 6-30 rep range with enough volume to stimulate hypertrophy without overtraining. If you want to maximize strength work in the 1-6 rep range with  slightly lower volume and add in volume in the 6-30 rep range in order to get the hypertrophy benefits without the extra toll n your joints. 

For those who want to achieve high levels in both aspects then I would recommend training with more high repetition sets and less low repetition sets when wanting to build muscle and then decreasing the high rep sets and replacing them with low rep set when wanting to demonstrate more strength, perhaps around competition season.  

For those who need more help with making sense of the conflicting nutritional information out there, personal coaching options are available.Check out the coaching page or send an email to mitch@bodyoptimizedcoaching.com for any questions.