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worty [1.4K]
4 years ago
6

What is the approximate volume of a cone with a height of 8 cm and a radius of 12 cm? Use 3.14 for pie.

Mathematics
1 answer:
lawyer [7]4 years ago
3 0

Answer:

A

Step-by-step explanation:

The volume of the cone is found using the volume formula for a cone V=\frac{1}{3}\pi r^2h.

Substitute h=8 and r = 12.

V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi (12^2)(8)\\V=\frac{1}{3}\pi *144*8\\V = \frac{1152}{3}\pi \\V= 384\pi \\V=1,205.76

So the volume is approximately 1,206 cubic cm.

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If A(−1, 1), B(−4, 5), C(−9, 5), and D(−6, 1) are the vertices of a quadrilateral, do the points form a rhombus? Justify your an
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Answer:

Yes, it is a rhombus because the slope of diagonal segment BD equals 2, the slope of diagonal segment AC equals -1/2, and the diagonals bisect each other.

Step-by-step explanation:

The slope of diagonal BD is ...

  slope BD = (change in y)/(change in x) = (-4/-2) = 2

The slope of diagonal AC is ...

  slope AC = (change in y)/(change in x) = (4/-8) = -1/2

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so the diagonals bisect each other.

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  • Yes, it is a rhombus because the slope of diagonal segment BD equals 2, the slope of diagonal segment AC equals -1/2, and the diagonals bisect each other.
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