A cone has a height of #6 cm# and its base has a radius of #6 cm#. If the cone is horizontally cut into two segments #2 cm# from the base, what would the surface area of the bottom segment be?
Claire AkinTotal Surface Area = 315.5493 cm^2
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Allison AllenTo find the surface area of the bottom segment of the cone:
- Calculate the slant height of the cone using the Pythagorean theorem: ( l = \sqrt{r^2 + h^2} ), where ( r ) is the radius and ( h ) is the height.
- Find the radius of the smaller cone formed by the horizontal cut. This can be done using similar triangles.
- Use the formula for the lateral surface area of a cone: ( A = \pi r l ), where ( r ) is the radius and ( l ) is the slant height.
Substitute the values into the formula to find the surface area of the bottom segment.
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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.
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