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Flura [38]
4 years ago
12

A cone and its dimensions are shown in the diagram. What is the volume of the cone in cubic inches

Mathematics
1 answer:
aliya0001 [1]4 years ago
8 0

Answer:1

V = 62.1262 cubic inches

Step-by-step explanation:

The formula for volume of a cone is V = (1/3)πr²h     where r is the radius of the base, and h is the height.

We are given the height,  h = 7 1/2 inches, or 15/2 inches

We are given the diameter of the base of 5 5/8 inches, or 45/8 inches

The radius is half the diameter, so divide 45/8 by 2.     The radius is 45/16.  

Plug these values into the formula and find V

V = (1/3)π(45/16)²(15/2)

   V = 30,375π/1,536   =  62.12622191

rounding to 4 decimal places gives us 62.1262 cubic inches

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B 8.5 Pounds

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Answer:

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Step-by-step explanation:

So an ellipse can be expressed in two different but very similar forms:

<u><em>Horizontal Major Axis:</em></u>

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<u><em>Vertical Major Axis</em></u>:
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In both equations the length of the major axis is "2a" and the length of the minor axis is "2b"

In the equation you provided, the major axis is horizontal, and the minor axis is vertical.

So looking at the horizontal length, you can see that it's 6, and since this ellipse has a horizontal major axis, that means 2a=6, which means a=3

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