Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

You walk into a room where there are three primates held in their respective cages:
1) A lion who is eating the flesh of a goat.
2) An orangutan who is playing with blocks.
3) A donkey who is sitting idle.

Who is the most intelligent primate in the room?

If you had a pizza with crust thickness 'a' and radius 'z', what's the volume of the pizza?

There is so small cabin inside a deep forest.
All the forest burned out to worst possible but the inside of the cabin is still the same.
However all the person inside the cabin die.

How come ?

The more of this there is, the less you see. What is it?

Count the squares in the matchstick puzzle below?

using four eights (8) and a one (1) and one mathematical symbol , create the number 100

No one wants to have it, but if one got it, he does not want to lose it. What is It?

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?