Answer:
Surface area of the whole figure![= 320.28inch^2](https://tex.z-dn.net/?f=%3D%20%20320.28inch%5E2)
Step-by-step explanation:
The surface area of the figure :
Surface area of the cylinder(excluding top)+Surface area of the cone(excluding bottom)
Radius of the cylinder=3 inch and Height of cylinder=13 inch
Surface area of the cylinder with one circular face
![=2\pi rh+\pi r^2](https://tex.z-dn.net/?f=%3D2%5Cpi%20rh%2B%5Cpi%20r%5E2)
As, ![\pi =\frac{22}{7}= 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%5Cfrac%7B22%7D%7B7%7D%3D%203.14)
![=(2*3.14*3*13)+(3.14*3*3)\\\\=244.92+28.26\\\\=273.18inch^2](https://tex.z-dn.net/?f=%3D%282%2A3.14%2A3%2A13%29%2B%283.14%2A3%2A3%29%5C%5C%5C%5C%3D244.92%2B28.26%5C%5C%5C%5C%3D273.18inch%5E2)
Surface area of the cone excluding base:
![=\pi *r*l](https://tex.z-dn.net/?f=%3D%5Cpi%20%2Ar%2Al)
l= slant height=5 inch r= radius= 3 inch
Surface area of the cone =![3.14*3*5](https://tex.z-dn.net/?f=3.14%2A3%2A5)
![=47.1inch^2](https://tex.z-dn.net/?f=%3D47.1inch%5E2)
Total surface area of the whole figure![=273.18+47.1](https://tex.z-dn.net/?f=%3D273.18%2B47.1)
![= 320.28inch^2](https://tex.z-dn.net/?f=%3D%20%20320.28inch%5E2)
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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Answer:
y=[-2]x[+][5]
Step-by-step explanation:
m= -2
Using the point (1,3) Find the value of b
3= -2(1)+b
3= -2+b
+2 +2
---------
5=b
y= -2x+5
Answer:
If x is the distance from centre fo the circle, with radius 25cm, to its intersection point with the common chord, x²+24²=25² =>x=7cm.
Distance from this intersecting point to the centre of the other circle=39–7=32cm
Ratio of the sides of the right triangle thus formed is 24:32=3:4. Since 3:4:5 is the basic pythagorean triplet, the radius of the other circle=5*24/3=40cm.
Aliter: radius of the other circle=√32²+24²= 40cm.
<h2><em>please</em><em> </em><em>mark</em><em> me</em><em> as</em><em> brainalist</em></h2>
Answer:
Lineal.
Step-by-step explanation:
To determine if the sequence 4,10,20,34,52 ....... is a linear model, a quadratic model or a cubic model, the following mathematical logical reasoning must be carried out:
4 to 10 = +6
10 to 20 = +10
20 to 34 = +14
34 to 52 = +18
Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.
Therefore, since there is no quadratic or cubic relationship, the sequence is linear.