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We partially grate a carrot. We represent the root as a cylinder: x ^ 2 + y ^ 2 = 1 from z = 0 to a height of 15cm. We represent the rasp as the plane: x + y + z = 6. Calculate the volume...

A load of topsoil has a volume of 7.5 m squared. You wish to spread the topsoil over an area measuring (30x + 22.5) meters squared. Create an expression for the depth of the topsoil.

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