Answer:
The volume of the toy is
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula
In this problem, the wide of the toy is equal to the diameter of the hemisphere
so
----> the radius is half the diameter
substitute
step 2
Find the volume of the cone
The volume of the cone is given by
we know that
The radius of the cone is the same that the radius of the hemisphere
so
The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy
substitute the given values
step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so
assume
The domain and the range is [-6 to +inf)
Reducing the solution to a problem in lowest terms
Answer:
angle 1 = 83°
angle 2 = 88°
Step-by-step explanation:
angle 1 and angle on vertex B are
pair of co interior angles ( whose sum = 180° )
so, angle 1 + angle B = 180°
angle 1 = 180° - angle B
angle 1 = 180° - 97° = 83°
hence, angle 1 = 83°
but, angle 2 and exterior of vertex A forms alternate interior angle pair ,
so , angle 2 = angle A = 88°
i hope you got it ....
The answer to your question is " D.)119"