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The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.
<h3>What is the volume of a cylinder?</h3>The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,
As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.
Substitute the values,
Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,
Further, the volume of the water that is inside the cylinder can be written as,
The volume of water = Volume of the cylinder - Volume of the sphere
= 1696.46 - 113.097
= 1583.36266 in³
Hence, the volume of the water in the cylinder is 1583.36266 in³.
Learn more about Volume of the Cylinder:
Answer:
Using Geometry to answer the question would be the simplest:
Step-by-step explanation:
Remembering the formula for the area of a triangle which is . One can then tackle the question by doing the following:
Step 1 Find the y-intercepts
The y-intercepts are found by substituting in .
Which gives you this when you plug it into both equations:
So the y-intercepts for the graphs are , and
respectively.
Now one has to use elimination to solve the problems by adding up the equations we get:
Now to solve for the y component substitute:
Therefore, the graphs intersect at the following:
Now we have our triangle which is accompanied by the graph.
now to solve it we must figure out how long the base is:
The height must also be accounted for which is the following:
Now the formula can be used:
