Answer:
V(hemisphere) = 1072.3in^3
Step-by-step explanation:
To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.
The volume of a sphere is:
[tex]V(sphere) = \frac{4}{3} \pi r^3[/tex]
Let's plug in the radium of 8 into the equation and solve:
[tex]V(sphere) = \frac{4}{3} \pi (8)^3\\V(sphere) = \frac{4}{3}\pi 512 \\V(sphere) = 2144.660585[/tex]
Now, divide it by 2
V(sphere) = (2144.660585)/2
V(hemisphere) = 1072.3in^3
I hope this helps!!
- Kay :)
