Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
The volume of a sphere can be calculated as
Where r is the radius of the sphere
We want to calculate half of the volume, then we must divide that volume by 2
Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then
Let's put it into our equation
The problem says to use
Then
Final answer:
The formula that can be used to calculate the volume of water inside the fish bowl is