You want to find the volume inside the hemisphere 
(i.e. inside the sphere but above the plane 
) and outside the cylinder 
. Call this region 
.
In cylindrical coordinates, we have
(where 
)
Answer:
Volume = 202.5 cubic feet
Step-by-step explanation:
Given that the aquarium is in the shape of a right rectangular prism in which
Length L = 6 1/4 feet
Width W = 7 1/5 feet
Height H = 4 1/2 feet
Volume = L × B × H
Volume = 25/4 × 36/5 × 9/2
Volume = 5 × 9 × 4.5
Volume = 202.5 cubic feet
Answer:
Step-by-step explanation:
Given
Parallel lines A and B
Required
Find x
For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles
And alternate interior angles are always equal
This means that
Collect like terms
Multiply both sides by -1
Answer:
negative
Step-by-step explanation:
a positive divided by a negative is a negative
Answer:
Jessica runs the fastest
Step-by-step explanation:
If you divide all of the lengths they ran by the time it took them to run in seconds, you find how much feet they run each second and Jessica ran the most feet in the least amount of time which means she runs the fastest.
