Cats, by nature, are inquisitive. We have a new cat in our house and she (Ludo) is very inquisitive. It took her about 3 months to get used to all the other animals (two dogs, one cat, five birds and a hamster) but she is finally exploring.
I caught her in our kitchen sink the other day looking up at the tap. She was very curious about it and even rubbed her nose against it and licked a stray drop of water that was still in the spout. However, the minute I turned the tap slightly she ran.
She still goes in the sink, but if I approach she gets out of there like a bat out of hell!