Question

Question help

Answer 1

The volume of the hemisphere is:
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" \frac{2}{3} [/tex] $\pi$ * h³ " ; 
 
or; write as:  " $\frac{2 \pi h^3}{3}$ " .
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Explanation:
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The formula/equation for the volume, "V", of a sphere:

V = ($\frac{4}{3}$) * $\pi$ * r³ ;

The depth; or, height, "h"; would represent the "radius", "r" .

So, the volume would be:

V = $\frac{1}{2}$ * $\frac{4}{3}$ * $\pi$ * h³ ;
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Note:  " $\frac{1}{2}$ * $\frac{4}{3}$ " ; 

                 = $\frac{(1*4)}{(2*3)} = \frac{4}{6} = \frac{(4/2)}{(6/2)} = \frac{2}{3}$ ;
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The volume of the hemisphere is:

" \frac{2}{3} [/tex] $\pi$ * h³ . "

or; write as:  " $\frac{2 \pi h^3}{3}$ " .
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