Volume:
<h2>
Explanation:</h2>
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:
<h2>Learn more:</h2>
Volume of cone: brainly.com/question/4383003
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Answer:
A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left.
Answer:
At (-2,0) gradient is -4 ; At (2,0) gradient is 4
Step-by-step explanation:
For this problem, we simply need to take the derivative of the function and evaluate when y = 0 (when crossing the x-axis).
y = x^2 - 4
y' = 2x
The function y = x^2 - 4 cross the x-axis when:
y = x^2 - 4
0 = x^2 - 4
4 = x^2
2 +/- = x
Hence, this curve crosses the x-axis twice, once at (-2,0) and again at (2,0).
The gradient at these points are as follows:
y' = 2(-2) = -4
y' = 2(2) = 4
Cheers.
Answer:
96
Step-by-step explanation:
3*4*8=96
