<h2>
Answer:</h2>
<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>
<em>1308 33 cubic millimeters</em>
<h2>
Explanation:</h2>
Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:
![V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height](https://tex.z-dn.net/?f=V_%7Bc%7D%3D%5Cpi%20r%5E2%20h%20%5C%5C%20%5C%5C%20r%3Aradius%20%5C%5C%20%5C%5C%20h%3Aheight)
While the volume of half a sphere is:
![V_{hs}=\frac{2}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7Bhs%7D%3D%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E3)
Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:
![V_{s}=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7Bs%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Then, the composite figure is:
![V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20h%20%2B%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%20%5C%5C%20%5C%5C%20V%3D%5Cpi%20r%5E2%28h%2B%5Cfrac%7B4%7D%7B3%7Dr%29)
The radius of the cylinder is the same of the radius of each half sphere. So:
![r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}](https://tex.z-dn.net/?f=r%3D5mm%20%5C%5C%20%5C%5C%20h%3D10mm%20%5C%5C%20%5C%5C%20%5C%5C%20V%3D%283.14%29%20%285%29%5E2%28%2810%29%2B%5Cfrac%7B4%7D%7B3%7D%285%29%29%20%5C%5C%20%5C%5C%20V%3D25%283.14%29%2810%2B%5Cfrac%7B20%7D%7B3%7D%29%20%5C%5C%20%5C%5C%20%5Cboxed%7BV%5Capprox%201308.33mm%5E3%7D)
Answer:
s ( x ) = 102, a ( x ) = 8 ( x + 2 )
A function that combines the two:
f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =
= 102 + 8 x + 16
final answer : f ( x ) = 8 x + 118
The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
According to the statement
we have given that the some values of the temperatures and we have to write it in the order from the coolest to the warmest means in increasing order.
So, For this purpose,
The given values of temperatures are:
3°C , -7°C , 2°F, 262 K
Firstly convert into one form
So, convert all values in Celsius form,
3°C = 3°C
-7°C = -7°C
2°F = -16.7°C
262 K = -11.15°C
Now arrange into the order from coolest to warmest
So, it will become
-16.7°C > -11.15°C > -7°C > 3°C
So, -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
Learn about the increasing order here
brainly.com/question/14662181
#SPJ1
Answer:
See the image.
Step-by-step explanation:
Constant balance in a bank account signifies that the balance in the account remains constant throughout time.
That is, it did not rise or diminish with time.
As a result, the graph of such a circumstance is a horizontal line parallel to the Time period axis.
Answer : w/6 + 4/6 -3b/6 = a
Explanation :
First distribute it which is
=> w= 6a+3b -4
Then start moving the numbers to the left
=> w+4 - 3b = 6a
= w/6 + 4/6 -3b/6 = a