Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
<span>Find the volume of a cone if the slant height is 50 in and the diameter is 80 in
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V≈52359.88<span>
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Let x represent the number of students in Janelle’s group.
If Janelle brings 3 markers for each person in her group, then she brings 3x markers for x students. You also know that she brings <span>5 extra markers for everyone to share. Thus, the total amount of markers she brings is 3x+5.
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If Janelle brings in 23 markers in all, then the equation <span><span>3x+5=23 </span> represaents the mathematical model. </span>
3x=23-5,3x=18,x=6
Answer: there are 6 students in Janelle's group.
You would do 40/x=x/15, therefore you get x^2=600. to find x you find the square root of each side. Rounded to the nearest tenth, you get 24.5. If you put it in simplest radical form you should get 10 times the square root of 6
