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WARRIOR [948]
3 years ago
9

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radiu

s of 3 inches. Determine the height
Mathematics
1 answer:
Sloan [31]3 years ago
7 0

Answer:

so lets get the cones volume first the formula for a cone is V=πr2/3

so V=πr2h

3=π·22·3

3≈12.56637

and then the height of the cylinder is 4

Step-by-step explanation:

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From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved. 

<span>3x - 2y + 2z = 30  (1)
</span><span>-x + 3y - 4z = -33  (2)
</span><span>2x - 4y + 3z = 42   (3)

We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
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3 (3y - 4z + 3)<span> - 2y + 2z = 30  (1)
</span>2 (3y - 4z + <span>3)</span> - 4y + 3z = 42   (3)

We simplify and solve the equations and we get values,

x = 4
y = -7
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Step-by-step explanation:

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Step-by-step explanation:

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