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At an Ice Cream Store, a single scoop of ice-cream can be modeled by a hemisphere...

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Physics

At an Ice Cream Store, a single scoop of ice-cream can bemodeled by a hemisphere which is 1 inch tall. The ice-cream fitsperfectly on top of a cone that is 4 inches tall and has a 1 inchradius at the top.

1. Write one equation in Cartesian coordinates (x, y, z) todescribe the scoop and one equation for the cone.

2. If the mass of one scoop of ice cream is 60 grams and thatthe mass density of ice-cream is constant, find the mass density ofthe ice-cream.

3. Find the center of mass of the scoop of ice-cream

4. Compute the total surface area of the ice-cream scoop and thecone

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