Answer:
![Vol=883.6875\,\, cm^3\\](https://img.qammunity.org/2021/formulas/mathematics/high-school/ovrbx47dzivm0i96cslthci2f66r16yiux.png)
Explanation:
Recall that the volume of a whole sphere is given by the formula:
![Vol_(sphere)=(4)/(3) \pi\,R^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/mmj367nph9uks0tus7mn4xxl4v93keqcsa.png)
then, the volume of a semi-sphere would be half of the formula above:
![Vol=(2)/(3)\, \pi\,R^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/r2ezx3wn10gqvdpmf7p2jostgof2anglfx.png)
Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.
which makes our calculation:
![Vol=(2)/(3)\, \pi\,R^3=(2)/(3)\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\](https://img.qammunity.org/2021/formulas/mathematics/high-school/prx6736lp6pa5pwihzdygszh7cgjdq5f24.png)