Answer:
Even
Step-by-step explanation:
 
        
             
        
        
        
Answer:
V = 1206.3 
Step-by-step explanation:
This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.
Volume of a cylinder = area (of the base) x height
Substitute in the formula for the area of a circle.
V(cylinder) = 
 x h
 x h
Substitute in the values for the radius (8) and height (4)
V(cylinder) =  x
 x  x 4
 x 4
Evaluate using a calculator
V(cylinder) = 804.2477
To the nearest tenth, V(cylinder) = 804.2
Volume of a cone =  . This is the area of the circular part of the cone (
. This is the area of the circular part of the cone ( ), multiplied by the height from the point to the base, all divided by 3.
), multiplied by the height from the point to the base, all divided by 3.
Substitute in the values for the radius of the circle (8) and the height (6)
V(cone) =  (On the top it's
 (On the top it's  x
 x  x 6)
 x 6)
Evaluate using a calculator
V(cone) = 402.1239
To the nearest tenth, V(cone) = 402.1
Total volume = V(cylinder) + V(cone)
= 804.2 + 402.1
= 1206.3 
 
        
             
        
        
        
Answer: No; Most students have a curfew of 9 pm or earlier
 
        
             
        
        
        
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude 
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get 
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get 
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get 
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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4 and 7 and 8 and 9 and10