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QveST [7]
3 years ago
10

Which of these lengths could be the sides of a triangle?

Mathematics
1 answer:
kompoz [17]3 years ago
8 0
What are the lengths
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What is the volume of this cone?
olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius.  That gives us  1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length.  We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length.  You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

a^2 = b^2 + c^2

So we can find the height of the cone with that:

10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx  7.9

Now that we have the cone's height, we can solve for its volume:

v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2  \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3

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Please someone help me if you can't that is okay but please try I am extremely desperate
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A, you combine like terms
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Opposites are basically the negative and positive of a number.  I cannot think of something for a real world situation though.

Step-by-step explanation:

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