Answer:
![4607 cm^{3}](https://tex.z-dn.net/?f=4607%20cm%5E%7B3%7D)
Step-by-step explanation:
First, find the volume of the half sphere:
Volume of a regular sphere: ![V = 4/3\pi r^{3}](https://tex.z-dn.net/?f=V%20%3D%204%2F3%5Cpi%20r%5E%7B3%7D)
Divide 20 by 2, and plug in.
4/3 (3.14) (10)^3 = 4188.79
Then divide by 2, to get the half.
4188.79 / 2 = 2094.39 = 2094
Second, find the volume of the cone:
Volume of a cone: ![V = \pi r^{2} \frac{h}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E%7B2%7D%20%5Cfrac%7Bh%7D%7B3%7D)
(Use 10 for the radius as you do above)
(3.14) (10)^2 (24/3) = (3.14) x 100 x 8 = 2513.27
Round: 2513.27 = 2513
Last, add the two volumes:
2094 + 2513 = 4607