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ollegr [7]
2 years ago
13

The circumference of the base of the cone is 8.5 inches. What is the volume of the cone in term of pi? Round to the nearest hund

redth

Mathematics
1 answer:
NemiM [27]2 years ago
4 0
<h3>Answer:  V = 270.94/pi</h3>

========================================================

Work Shown:

C = 2*pi*r  ......... circumference of the circular base

r = C/(2pi)

r = (8.5)/(2pi)

r = 4.25/pi

-------------

V = pi*r^2*h ...... volume of the cone

V = pi*(4.25/pi)^2*15

V = pi*(18.0625/pi^2)*15

V = (18.0625*15)/pi

V = 270.9375/pi ..... exact volume in terms of pi

If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi

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Obviously, Julie cannot give a fraction of an amount of candy to someone.  So that rules out that she had 162, 145, or 128 pieces of candy.  

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One of the legs of a right triangle measures 4 cm and its hypotenuse measures 18 cm. Find the measure of the other leg. If neces
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Answer:

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Step-by-step explanation:

c^2=a^2+b^2

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Show all work. <br><br>PLEASE HELP!!!!
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(a) Using the table, give the values fo rthe inverse


1) original table of values:


x      1     2     3    4    5

f(x)   0     1     1    5    3


2) The inverse of the function is obtained by exchanging x and f(x), this is:


                   ( x, f(x) ) → ( f(x), x)


3) So, the table of values of the inverse of the given function is:


x          0    1     1      5     3

f⁻¹ (x)   0     1     2     3     4


(b) Is the inverse a function?


No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.


This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
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