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jeka94
3 years ago
6

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.14 to approximate pi, and express your

final answer to the nearest hundredth.
Mathematics
1 answer:
leva [86]3 years ago
7 0
Volume = 1/3×π×182×6 = <span>2035.7520395262 millimeters<span>3</span></span>
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2 years ago
*Silly and/or spam answers will not be tolerated*
stepladder [879]

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-1/8

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lim x approaches -6     (sqrt( 10-x) -4) / (x+6)

Rationalize

   (sqrt( 10-x) -4)      (sqrt( 10-x) +4)

    ------------------- * -------------------

       (x+6)                 (sqrt( 10-x) +4)

We know ( a-b) (a+b) = a^2 -b^2

a= ( sqrt(10-x)   b = 4    

(10-x) -16

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

(x+6) (sqrt( 10-x) +4)    

-6-x

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

(x+6) (sqrt( 10-x) +4)

Factor out -1 from the numerator

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

(x+6) (sqrt( 10-x) +4)

Cancel x+6 from the numerator and denominator

-1

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

(sqrt( 10-x) +4)

Now take the limit

lim x approaches -6    -1/ (sqrt( 10-x) +4)

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                                      -1 /( 4+4)

                                        -1/8

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