The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of the square is 13 m. Supervillains decide to fill the pyramid with water, and do so at a rate of 10 m3 per second. How quickly is the water level rising when it reaches the top? I have no idea how to do this please help.
Calculus Problem. Full Solution please.
- Thread starter temit96
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If you really "have no idea how to do this", then you need much more help than can possibly be provided here. So I'll hope that you are exaggerating. Thus:
From back in geometry: What is the formula for the volume V of a pyramid with base area A and height h? What is the formula for a truncated pyramid?
From word problems back in algebra: What picture have you drawn to model the situation? What relation(s) can you noticed?
From calculus: What calculus process might be related to the rate of change of height? How might the rate of change of volume relate?
