An ellipsoid has radii with lengths of #2 #, #1 #, and #3 #. A portion the size of a hemisphere with a radius of #1 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
The remaining volume
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The remaining volume of the ellipsoid after removing a hemisphere with a radius of 1 is approximately ( \frac{47}{6}\pi ).
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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.
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.
- An isosceles triangle has a base of 12 cm with equal sides of 20 cm each. How do you determine the area of this triangle accurate to the nearest square centimeter?
- What is the area of a trapezoid with a height of 4 m and bases of 15 m and 12 m?
- A triangle has two corners with angles of # pi / 12 # and # pi / 8 #. If one side of the triangle has a length of #1 #, what is the largest possible area of the triangle?
- Cups A and B are cone shaped and have heights of #20 cm# and #12 cm# and openings with radii of #5 cm# and #3 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
- What is the diameter of a circle with a 6.7 cm circumference?

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