Can someone plz help me with this and i need the drawing to show work
1 answer:
Answer:
20.833 feet
Step-by-step explanation:
The light reflects off the mirror at the same angle that it hits it at. So the triangle formed by the beam and mirror is similar to the triangle formed by Kevin and the mirror.
Therefore, we can write and solve a proportion.
h / 10 = 6.25 / 3
h = 20.833
The beam is 20.833 feet tall.
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Answer:
The volume of the solid is 714.887 units³
Step-by-step explanation:
* Lets talk about the shell method
- The shell method is to finding the volume by decomposing
a solid of revolution into cylindrical shells
- Consider a region in the plane that is divided into thin vertical
rectangle
- If each vertical rectangle is revolved about the y-axis, we
obtain a cylindrical shell, with the top and bottom removed.
- The resulting volume of the cylindrical shell is the surface area
of the cylinder times the thickness of the cylinder
- The formula for the volume will be: V = ,
where 2πx · f(x) is the surface area of the cylinder shell and
dx is its thickness
* Lets solve the problem
∵ y =
∵ The plane region is revolving about the y-axis
∵ y = 32 and x = 0
- Lets find the volume by the shell method
- The definite integral are x = 0 and the value of x when y = 32
- Lets find the value of x when y = 0
∵
∵ y = 32
∴
- We will use this rule to find x, if , where c
is a constant
∴
∴ The definite integral are x = 0 , x = 4
- Now we will use the rule
∵
∵ y = f(x) = x^(5/2) , a = 4 , b = 0
∴
- simplify x(x^5/2) by adding their power
∴
- The rule of integration of
∴ from x = 0 to x = 4
∴ from x = 0 to x = 4
- Substitute x = 4 and x = 0
∴
∴
* The volume of the solid is 714.887 units³