Which is an example of something heated by conduction

An example would be a pot on a stove. The radiation from the source of the heat (the stove) would make the handle hot by conduction from heat through contact.

Another example could be a metal spoon in a hot cup of coffee. The coffee itself is hot, but since the spoon is in the coffee and making contact, part of the spoon will become hot from the radiation of the source of heat (the hot coffee). Thus, conduction.

Because the dept in the ocean