Can you determine the union or intersection and write in interval notation?
1 answer:
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Okay so the equation given to you, tells you that the slope must be 4. The line must pass through the point (4,8). so, you have to put it into point-slope form in order to find your answer. the equation for point slope form is y-y1 =m(x-x1). in the equation, y1 and x1 are given in the point (4,8), so you point slope equation will be y-8=4(x-4). then you solve the equation. hope this helps! :)
Given:
Composite figure made of cylinder and two spheres.
To find:
The volume of the composite solid.
Solution:
Radius = 2 in
The value of π = 3.14
<u>Volume of sphere:</u>
Volume of a sphere is 33.49 in³
Volume of two spheres = 2 × 33.49 = 66.98 in³
Radius of cylinder = 2 in
Height of cylinder = 8 - 2 - 2 = 4 in
<u>Volume of cylinder:</u>
V = 3.14 × 2² × 4
V = 50.24
Volume of cylinder = 50.24 in³
Volume of composite solid = Volume of two spheres + Volume of cylinder
= 66.98 in³ + 50.24 in³
= 117.2 in³
The volume of the composite solid is 117.2 in³.