Hello!
Let's write some information contained in the exercise:
• radius,: 1.5in
,
• pi,: 3.14
In this exercise, we have a hemisphere (half of a sphere). So, we can solve it using the formula of the volume of the sphere, then we'll divide the obtained result by 2, look:
![V_(\circ)=(4\cdot\pi\cdot r^3)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/72a54uzlt0qvjg2i19lqft2guanp8iiu6l.png)
Let's replace it with the values:
![V_{\operatorname{\circ}}=(4\cdot3.14\cdot1.5^3)/(3)=\frac{12.56\operatorname{\cdot}3.375}{3}=(42.39)/(3)=14.13in^3]()
As we are working with a hemisphere, we have to divide it by 2:
![V=(14.13)/(2)=7.065in^3](https://img.qammunity.org/2023/formulas/mathematics/college/sfde1qseyi3i6ho8x0107v9rltqoi0feos.png)
Right Answer:
Third alternative.