1 Answer

Grasesed · Answer 1 · 2024-05-27T15:00:06+0000

Hello !

Answer:

$\boxed{\sf V_(hemisphere)=144\pi\ mm^3}$

Explanation:

The volume of a sphere is given by the following formula :
$\sf V_(sphere)=(4)/(3)\pi r^3$ where r is the radius.

Moreover, we know that the volume of a hemisphere is half the volume of a sphere :
$\sf V_(hemisphere)=(1)/(2) V_(sphere)$

We obtain :
$\sf V_(hemisphere)=(2)/(3)\pi r^3$

Given :

$\sf r=(1)/(2) d=(12)/(2) \\\underline{\sf r=6mm}$

Let's substitue r with it value in the previous formula :

$\sf V_(hemisphere)=(2)/(3) \pi* 6^3\\\boxed{\sf V_(hemisphere)=144\pi\ mm^3}$

Have a nice day ;)

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