9: B right
10: C obtuse
11: B right
12: B right
I hope they are right! Sorry if they are not!
Recall the fundamental rule of trig:

So, there exists an angle
such that

if and only if

Working out the numbers, we get

So, there doesn't exist a number
such that

C is the answer Bc it shows you all
Answer:
B =
*r^2
(Base of the cone)
Step-by-step explanation:
The volume of the cone is always 1/3 of the volume of a cylinder with the same radius and height.
Volume of the cylinder
V_cylin = (
*r^2 )* h
Where
r is the radius
h is the height
This means the volume of the cone is equal to
V_cone = (1/3)* (
*r^2 )* h
By looking to the equation of the problem
V=(1/3)Bh
We can easily deduce that
B =
*r^2
(Base of the cone)