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Lerok [7]
3 years ago
9

PLEASE HELP!!! It would be greatly appreciated

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0
A^2 + b^2 = c^2 then add the bottom bits to get x=10
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a
Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.  

We know that height of sphere is equal to its radius. This means that r=h.

\text{Volume of sphere}=\frac{4}{3}\pi r^3  

\text{Volume of cylinder}=\pi r^2 h

Using r=h, we will get:

\text{Volume of cylinder}=\pi r^2\cdot r

\text{Volume of cylinder}=\pi r^3

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is \frac{4}{3} times volume of cylinder.

\pi r^3=21

\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21

\frac{4}{3}\pi r^3=4\cdot 7

\frac{4}{3}\pi r^3=28

Therefore, the volume of the sphere would be 28 cubic meters.

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3 years ago
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Sqrt(2x-6)=3-x<br> Solve for x
soldi70 [24.7K]

Answer:

x = 3

Step-by-step explanation:

\sqrt{2x - 6}  = 3 - x

Square both sides of the equation

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x^{2}  - 8x + 15 = 0\\

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Now, you must always check your results because a result may not satisfy the original equation.

If x = 3, then \sqrt{2x - 6} = \sqrt{2(3) - 6} = \sqrt{6 - 6}  = \sqrt{0} = 0  and 3 - x = 3 - 3 = 0

So 3 satisfies the original.

If x = 5, then \sqrt{2(5) - 6}  = \sqrt{10 - 6} = \sqrt{4} = 2,  but 3 - x = 3 - 5 = -2.  Therefore, 5 does NOT satisfy the original equation.

That means that x = 3 is the solution to the equation.

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