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ladessa [460]
3 years ago
9

3 points

Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

<em>V = 65.9 cubic millimeters</em>

Step-by-step explanation:

<u>The Volume of a Right Circular Cone</u>

Given a right circular cone of radius r and height h, its volume is calculated as follows:

\displaystyle V=\frac{1}{3}\pi r^2h

The cone shown in the image has a radius of r=3 mm and a height of h=7 mm, thus the volume is:

\displaystyle V=\frac{1}{3}\pi\cdot 3^2\cdot 7

Taking pi as 3.14:

\displaystyle V=\frac{1}{3}3.14\cdot 3^2\cdot 7

Calculating:

V = 65.9 cubic millimeters

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3 0
3 years ago
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Find the probability that the mean annual preciptiation will be between 32 and 34 inches. variable is normally distributed
liq [111]
Supposing, for the sake of illustration, that the mean is 31.2 and the std. dev. is 1.9.

This probability can be calculated by finding z-scores and their corresponding areas under the std. normal curve.  
                                                                     34 in - 31.2 in
The area under this curve to the left of z = -------------------- = 1.47 (for 34 in)
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                                                                      32 in - 31.2 in
and that to the left of 32 in   is               z = ---------------------- = 0.421
                                                                             1.9

Know how to use a table of z-scores to find these two areas?  If not, let me know and I'll go over that with you.


My TI-83 calculator provided the following result:

normalcdf(32, 34, 31.2, 1.9) = 0.267  (answer to this sample problem)

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384
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