I have a 9 week old...actually almost 10 week old pup and I laugh when I read things that say pups that age should have 20-40 minutes of good activity with you a day. BAHAHAHAHAHAHA 20 minutes my toosh. More like hours.
He has TONS AND TONS of energy. We have to play with a flirt pole. Then walk around the block a few times. Then run and chase in the back yard. Then take a short nap and play with all the different toys. Then he runs around and follows me, attacking my feet while I try to do, ya know, normal stuff like go to the bathroom and eat. Then we do some training. Then we play with the flirt pole again...well you get the idea.
When I really have to get something done, he has to be crated, because otherwise he gets into trouble. I think that you're just experiencing very normal puppy life. Best to try and be patient, give as much attention as you can and be thankful when he's a bit older and can do something like run along side a bike to help wear him out.
I do notice that when my puppy is at his craziest, he's often mentally under stimulated. This is when I stop what I'm doing, pull out some treats and work on tricks and stimulate him mentally. These dogs are really smart and need as much mental activity as physical. Even a few minutes of teaching and training will help satisfy him. How much are you training him? Is he in puppy class? Does he have other dog friends? All these things can help.
Also, you can try leashing him to your waist while you do household chores. giving treats and praise when he follows without pulling and sits ever time you stop walking. He's also old enough to get a very small pack and put a chew toy or something in it. He cannot really carry much weight yet, but having a pack will help "work" him and give him something to do while following you during the day.