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(Integration Application) A water tank is shaped like an inverted cone with a height 2 meters...

(Integration Application) A water tank is shaped like an inverted cone with a height 2 meters and top radius 6 meters is full of water. Set up a Riemann Sum and an Integral to model the work that is required to pump the water to the level of the top of the tank? No need to integrate here. (Note that density of water is 1000 kg/m3 ).

RIEMANN SUM ______________________________________________

INTEGRAL____________________________________________________

Provide an explanation as to the difference of the Riemann Sum and the Integral. What will each calculate? How are they related, and how does one go from the Riemann Sum to the Integral mathematically?

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