Answer:
51*pi or 160.221
Step-by-step explanation:
total volume = volume of a cone + volume of a cylinder 
total volume = 1/3* pi*r^2* height(of cone) + pi* r^2 *height(of cylinder)
total volume = 1/3 * pi * 3^2 * 5 + pi * 3^2 * 4
total volume = 51*pi = 160.221
 
        
             
        
        
        
Answer:6.7
Step-by-step explanation:
5t-17.2=16.3
5t=16.3+17.2
5t=33.5
5t/5t=33.5/5
t=6.7
 
        
             
        
        
        
The value of x can be found using the sine function.
sin 30 = x/8
8 (sin 30) = x
4 = x
        
             
        
        
        
15 is 3,5 and 5 is just 1 and 3 is 1
        
             
        
        
        
Answer:
The largest area enclosed is  A = xy = 6 feet  6 feet = 36
 6 feet = 36 
Step-by-step explanation:
i) The perimeter of the area is 2 (x + y) =24  ∴ x + y = 12    ∴ y = 12 - x
(x + y) =24  ∴ x + y = 12    ∴ y = 12 - x
ii) The area of rectangle enclosed A  = xy    ⇒ A  = x ( 12 - x) = 12x - 
iii) differentiating both sides of the equation in ii) we get
 ⇒  x = 6 feet
    ⇒  x = 6 feet
iv) Differentiating both sides of equation in iii) we get     =  -2
 =  -2
    Therefore the area enclosed is maximum as the double derivative is negative
v) therefore for largest area enclosed   x  = 6 feet and  y = 12 - 6 = 6 feet
vi) therefore the largest area enclosed is 
  A = xy = 6 feet  6 feet = 36
 6 feet = 36 