Answer:
312π mm^2
Step-by-step explanation:
to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.
The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:
V = 1/3 * (6) ^ 2 * (14) = 168π mm^2
The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:
V = 4/3 * π * (6) ^ 3 = 288π mm^2
but since you only have half the sphere
V = 288π / 2 = 144π mm^2
then the total volume is
Vt = 168π + 144π = 312π mm^2
