Please read the attached document I need serious help thanks

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osmosis786

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- May 13th 2009, 09:41 AMosmosis786[B]Algebra in Geometry Need serious help[/B]
Please read the attached document I need serious help thanks

(Speechless)

please ignore my writing unless it helps :P

thanks

osmosis786 - May 13th 2009, 11:00 AMearboth
1. h > 6x

otherwise the sphere wouldn't submerge completely.

2. The volume of the sphere $\displaystyle \left(V_{sphere}=\dfrac43 \cdot \pi \cdot (3x)^3 = 36 \pi x^3\right)$ is added to the water.

3. To calculate the increase of the height you have to transform the volume of the sphere into a volume of a cylinder with the same base area as the water:

$\displaystyle 36 \pi x^3 = 16\pi x^2 \cdot a$

where a denotes the additional height:

$\displaystyle a = \dfrac{36 \pi x^3}{16\pi x^2} = \dfrac94 x$