Answer:
97.6 cm³
Step-by-step explanation:
Volume of plastic object :
Volume of cylinder - volume of cone
From. The diagram. :
Radius, r = diameter /2 = 4/2 
Volume of cylinder = pi*r²h
V = 22/7 * 2² * 8 = 100.53096 cm³
Volume of cone = 1/3*pi*r²h
V = 1/3 * 22/7 * 2² * 8
V = 2.9321531 cm³
(100.53096 - 2.9321531) cm³
= 97.598 cm³
= 97.6 cm³
 
        
             
        
        
        
Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
 
        
                    
             
        
        
        
u is at (1,-2)
V is at (-6,-6)
 using distance formula it is about 8.06 long
 so Answer is C
 
        
             
        
        
        
Answer:
D
Step-by-step explanation:
We would like to solve:
(3/4h + 4) - (1/2h + 1)
This is equivalent to:
3/4h + 4 - 1/2h - 1
First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:
3/4h - 1/2h + 4 - 1
The common denominator for 3/4 and 1/2 is 4, so:
3/4h - 1/2h = 3/4h - 2/4h = 1/4h
Put this back in:
1/4h + 4 - 1
1/4h + 3
The answer is thus D.
<em>~ an aesthetics love</em>
 
        
             
        
        
        
Answer:
Insert non-suspicious whistling