Find the value of x.
1 answer:
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Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere =
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = x
x
= x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
-2x - 13 = -3x - 5
Step 1: Combine like terms
x's go with x's (-2x and -3x). To do this add 2x to both sides
(-2x + 2x) - 13 = (-3x + 2x) - 5
(0) - 13 = (-x) - 5
- 13 = -x - 5
normal numbers go with normal numbers ( -13 and -5). To do this add 5 to both sides
(- 13 + 5) = -x + (- 5 + 5)
-8 = -x + (0)
-8 = -x
Step 2: Isolate x by dividing -1 to both sides (this will take the negative sign away from the x)
8 = x
x= 8
Hope this helped!