First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
Answer:
the value of h on the diagram is 9cm
Step-by-step explanation:
area = 1/2 * base * height
a = 1/2*b*h
36=1/2*8*h
36=4h
since the 1/2 will multiply the 8
36=4h
multiply both sides by 4
h=9cm.
Volume of the sphere = 3/4 pi r^3
The spheres radius is one third of the hemisphere's so radius of hemisphere = 3r
Volume of the hemisphere = 1/2 * 4/3 pi (3r)^3
= 2/3 * 27 pi r^3
= 18 pi r^3
So vol hemisphere / vol sphere = 18 pi r^3 / 4/3 pi r^3 = 18 * 3/4 = 13.5
Hemisphere is 13.5 times the volume of the sphere.
The LATEX symbol for the closed
surface integral (∯) is \oiint.
I am hoping that this answer has satisfied your query and it will be
able to help you in your endeavor, and if you would like, feel free to ask
another question.
