<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>
The hemisphere is half the volume of a sphere. Since we are given the circumference, we can solve for the radius of the sphere. That is
Part A
We can now compute for the volume of the hemisphere.
Part B
We just need to convert the volume into its corresponding gallons
Answer:
24
Step-by-step explanation:
6 * 4= 24
1 * 24 = 24
200 milimeters is the answer