Ms. Waters, the manager of Paradise Lake, just ordered a duck and goose food dispenser. She plans to use a paper cone to hold the pellets. The machine is set to dispense no more than 350 cm3 of food for each token. The cones are 12 cm. in diameter. How tall must the cone be to hold the food

Answer

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Step-by-step explanation:

Equation for the volume of a cone is

V = (pi(r^2)h)/2

Plug in the known values to get

350 = (pi(6^2)h)/2

To find h, just isolate it by first dividing both sides by 2 and squaring 6 to get

175 = pi(36)h

Then, divide both sides by pi36 to get

h = 175/pi(36)