help on finding the height of the test tube

Jul 2008
177
4
i know the vol of water is \(\displaystyle 8 \frac{1}{3} \pi \)

the formula for vol of hemisphere is \(\displaystyle \frac{4}{3}\) x \(\displaystyle 1.5^2\) x \(\displaystyle \frac{1}{2} \) x \(\displaystyle \pi\)

then i add the formula for vol of cylinder 1/3 x \(\displaystyle \pi \)x \(\displaystyle 1.5^3 \)x height

i found the height to be \(\displaystyle 2 \frac{19}{27} \)

now how do i find the height of the hemisphere?
 

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Last edited:
Jan 2009
591
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the formula for vol of hemisphere is \(\displaystyle \frac{4}{3}\) x 1.5^2 x \(\displaystyle \frac{1}{2} \) x \(\displaystyle \pi\)
...

Volume of a sphere
\(\displaystyle \dfrac{4}{3} \pi r^3 \)

The volume of a hemisphere would be half the volume of a sphere.


now how do i find the height of the hemisphere?
Double the Diameter of the sphere and Divide by 4

.
 
Jul 2008
177
4
Volume of a sphere
\(\displaystyle \dfrac{4}{3} \pi r^3 \)

The volume of a hemisphere would be half the volume of a sphere.



Double the Diameter of the sphere and Divide by 4

.
is this the formula to find height? can u explain to me why?