Combining of the two cylinders gives a composite figure that has the surface area of a solid cylinder of radius 7 mm and height 6 mm, such that the surface area of the figure is approximately 571.5 mm².
<h3>Which method can be used to find the surface area of the figure?</h3>
Radius of the inner cylinder, <em>r</em> = 3 mm
Radius of the outer cylinder, <em>R</em> = 7 mm
Height of the cylinders, <em>h</em> = 6 mm
Given that the inner cylinder exactly fits into the outer cylinder, we have;
The surface area of the composite figure is the surface area of the hollow outer cylinder + The area of the top and bottom of the inner cylinder.
Which gives;
The surface area of the composite figure, <em>A</em>, is the surface area of a solid cylinder, using the dimensions of the hollow outer cylinder.
Which gives;
- A = 2 × π × 7² + 2 × π × 7 × 6
Where, π = 3.14, we have;
A = 2 × 3.14 × 7² + 2 × 3.14 × 7 × 6 ≈ 571.5
- The surface area of the composite figure, <em>A </em>≈ 571.5 mm²
Learn more about the analyzing of composite figures here:
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Answer:
the height is : 2365.48 m
Step-by-step explanation:
hello :
h(t) = − 4.9 t 2 + 211 t + 94 .
the vertex of this parabola is : (-b/2a , h(-b/2a) when : a= -4.9 and b=211
-b/2a = -(211)/2(-4.9) = 21.53
h(21.53) = -4.9(21.53)²+211(21.53)+94 = 2365.48 m
Answer:
A
Step-by-step explanation:
gimme brainliest
The range is {-37,-25,-13,-1}. So you need to figure out what four numbers from this list of numbers (1,2,3,4,5,6,7,8), when applied to this
function, ( f(x)=-6x+11 ), equals these numbers that are in the range {-37,-25,-13,-1}.
So you apply each of these numbers (1,2,3,4,5,6,7,8) into the function (f(x)=-6x+11)
one by one.
f(1)=-6(1)+11=5
f(2)=-6(2)+11= -1
f(3)=-6(3)+11= -7
f(4)=-6(4)+11= -13
f(5)=-6(5)+11= -19
f(6)=-6(6)+11= -25
f(7)=-6(7)+11= -31
f(8)=-6(8)+11= -37
As you can see, f(2),f(4),f(6),and f(8) equal the numbers that are in the range {-37,-25,-13,-1}.
Well, we need to consider the x and y coordinates of the giben points, and check wether the y coordinate is greater than twice the x coordinate minus 1 (i.e. 2x-1):
- For the first point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is 2, and 2>-1. So, this point is a solution.
- For the second point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 2, and 2<7. So, this point is not a solution.
- For the third point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is -10, and -10<-1. So, this point is not a solution.
- For the fourth point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 1, and 1<7. So, this point is not a solution.
