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An assignment for math 1030 students, which includes tasks related to fundamental and derived units, unit conversions, and a problem involving potion making. Students are required to make lists of fundamental and derived units for given quantities, convert units such as kilometers to inches and gallons to liters, determine the amount of ingredients needed for a potion recipe, and calculate the time it takes for a tank to fill up.
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Name:
For the units below make a list of the fundamental units and a list of the derived units:
{ speed, acceleration, energy, length, time, volume }
Convert the following:
(a) 1 kilometer into inches.
(b) 10 gallons into liters.
(c) 65 miles per hour into meters per second.
An empty water tank is in the shape of a sphere with a radius of 24 meters. Water flows into the tank at a rate of 18 cubic yards per second. How many minutes will it take until the tank is full? 1 meter = 1.094 yards.