3 years ago

What is the height of a cone with radius 5 and volume=100 π?

Mathematics

2 answers:

marin [14]3 years ago

6 0

H≈3.82Using the formulaV=πr2h3Solving forhh=3Vπr2=3·100π·52≈3.81972

timurjin [86]3 years ago

3 0

The height of the cone would be 10 being that fact that if multiplied by 2 you get 20x 5 equals 100

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Solve the system of equations given below.<br> -5x = y – 5<br> -2y = -x-21

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Step-by-step explanation:

$\left\{\begin{array}{ccc}-5x=y-5&\text{subtract y from both sides}\\-2y=-x-21&\text{add x to both sides}\end{array}\right\\\left\{\begin{array}{ccc}-5x-y=-5&\text{multiply both sides by (-2)}\\x-2y=-21\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+2y=10\\x-2y=-21\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad11x=-11\qquad\text{divide both sides by 11}\\.\qquad x=-1\\\\\text{put the value of x to the first equation:}\\\\10(-1)+2y=10\\-10+2y=10\qquad\text{add 10 to both sides}\\2y=20\qquad\text{divide both sides by 2}\\y=10$