# An ellipsoid has radii with lengths of #3 #, #6 #, and #5 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

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To find the volume of the remaining ellipsoid after removing a hemisphere with a radius of 2, first, calculate the volume of the original ellipsoid using the formula ( V = \frac{4}{3}\pi a b c ), where ( a ), ( b ), and ( c ) are the lengths of the semi-axes.

Next, calculate the volume of the removed hemisphere using the formula ( V = \frac{2}{3}\pi r^3 ), where ( r ) is the radius of the hemisphere.

Then, subtract the volume of the removed hemisphere from the volume of the original ellipsoid to find the volume of the remaining ellipsoid.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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