As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.
The volume of a sphere is computed as

So, the volume of a quarter-sphere is

Answer:
1. diagrams C. D. and F. are adjacent angles, which are angles that share a vertex and side
2. diagram B. are vertical angles
3. diagram A. are complementary angles
4. diagram E. are supplementary angles
5. diagram D. is a linear pair
Answer:
40%
Step-by-step explanation:
Degree representing students who prefer burgers = 144°
Percentage of students who like burger = 


Percentage of students who offered burger = 40%
Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx
tan x = 0
x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees