Descriptions of all 10 achievements:

Art Collector: Took a stone statue with you in the cable car, for no reason at all.
Clean Dog: Washed the dog.
Clown Dog: Put some lipstick on the dog.
First Guess: Figured out the answer to the Master's question on the first try.
Full Belly: Fed the dog.
Not a Drop: Changed the fish into a tornado without getting wet.
Ride with a Friend: Took the dog with you in the cable car to the mountain top.
Short Confinement: Didn't leave the dog trapped in the dumbwaiter.
Veterinarian: Cured the dog.
Wet Dog: Managed to get the dog wet.