Answer:
[tex]4607 cm^{3}[/tex]
Step-by-step explanation:
First, find the volume of the half sphere:
Volume of a regular sphere: [tex]V = 4/3\pi r^{3}[/tex]
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: [tex]V = \pi r^{2} \frac{h}{3}[/tex]
(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
