help on finding the height of the test tube

**helloying** · September 6th 2009, 12:08 AM

i know the vol of water is $8 \frac{1}{3} \pi$

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

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

i found the height to be $2 \frac{19}{27}$

now how do i find the height of the hemisphere?

**aidan** · September 6th 2009, 01:48 AM

Originally Posted by helloying

...
the formula for vol of hemisphere is $\frac{4}{3}$ x 1.5^2 x $\frac{1}{2}$ x $\pi$
...

Volume of a sphere
$\dfrac{4}{3} \pi r^3$

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

.

**helloying** · September 6th 2009, 03:51 AM

Originally Posted by aidan

Volume of a sphere
$\dfrac{4}{3} \pi r^3$

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?

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