# help on finding the height of the test tube

#### helloying

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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#### aidan

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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

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#### helloying

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?