Recall the formula Sphere V=
2 answers:
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Given:
The graph of a function .
To find:
The interval where .
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, for
and
.
The function between x=0 and x=3.6 lies below the x-axis. So, for
.
Now,
For , the graph of h(x) is above the x-axis. So,
.
For , the graph of h(x) is below the x-axis. So,
.
For , the graph of h(x) is below the x-axis. So,
.
Only for the interval , we get
.
Therefore, the correct option is A.
Volume:
A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:
So:
From the figure the radius of the hemisphere is the same radius of the cylinder and equals:
And the height of the cylinder is:
So:
The volume of a hemisphere is half the volume of a sphere, hence:
Finally, the volume of the composite figure is:
Volume of cone: brainly.com/question/4383003
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