Please help quick it is for eighth grade
1 answer:
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Option A: The height of the cylinder is equal to the diameter of the sphere.
Option C: The radius of the sphere is half the height of the cylinder.
Option E: The volume of the sphere is two-thirds the volume of the cylinder.
Solution:
The sphere is inside the cylinder.
Let r be the radius of the sphere.
Option A: The height of the cylinder is equal to the diameter of the sphere.
The sphere is fully occupied the cylinder.
If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.
Option B: The height of the cylinder is two times the diameter of the sphere.
That is h = 2d. From the above option, we know that h = d.
So, it is not true.
Option C: The radius of the sphere is half the height of the cylinder.
we know that diameter = 2 × radius (d = 2r)
From option A, we have h = d.
Substitute d = 2r, we get
⇒ h = 2r
Divide by 2 on both sides, we get
Therefore, it is true.
Option D: The diameter of the sphere is equal to the radius of the cylinder.
It is not true, because diameters of both cylinder and sphere are equal.
Option E: The volume of the sphere is two-thirds the volume of the cylinder.
Radius of cylinder and sphere = r
Height of cylinder h = 2r (by option C)
Volume of cylinder = Volume of sphere
(formula)
Hence it is true.
Option A, option C and option E are true.
Answer:
Two other points: (2, 4) (6, 4)
Step-by-step explanation:
A line with a slope = 0 is a horizontal line [with a y-intercept of (0, <em>b</em>)], given by the linear equation, <em>y</em> = 4<em>. </em>This means that the y-coordinate will always equal to 4, regardless of its corresponding x-coordinate. Basically, we could choose any x-coordinate to pair with the y-coordinate of 4.
I chose the ordered pairs, (2, 4) and (6, 4).
Attached is a screenshot of the graphed linear equation, y = 4.
