Hey there :)
The volume formula of a cylinder is:
V = 

r²h
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 = 

r²(18)

 = 

r²
536 = 

r²

 = r²

 = r
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9   (given height)
So the big cylinder is 
2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

r ≈ 6.53  ( the radius of the small radius )
V (of small cylinder) = 

(6.53)²(9)
                                  = 1206 in³
 
        
        
        
Use trigonometry 
sin 42 = a /  21
a = 21 sin 42 =  14.05
        
             
        
        
        
Answer:
Therefore the cone is the greatest relative increase in volume.
Step-by-step explanation:
Cone:
Original cone = (1/3)π(h)r^2
Changed cone = (1/3)π(h/2)(3r)^2
= (1/2)(1/3)π(h)9r^2
= (9/2) * Original cone
=4.5 * Original cone
Cylinder:
Original cylinder = π(h)r^2
Changed cylinder = π(2h)r^2
=2 * Original cylinder
Therefore the cone is the greatest relative increase in volume.
 
        
             
        
        
        
Answer:
khanya pays higher
Step-by-step explanation:
You have to find the $/hr ratios: 
khanya's is 480/8->$60/hr
rex's is 660/12->%55/hr
Khanya pays the higher rate
 
        
             
        
        
        
Answer:
<em>Zeina had 35 books and Ali had 5 books</em>
Step-by-step explanation:
<u>Equations</u>
We know Zeina has seven times as many books as Ali. If we call
x = Number of books Ali has
Then Zeina has
7x = Number of books Zeina has
We also know if Zeina gave Ali 15 books, they would have the same number of books, thus:
x + 15 = 7x - 15
Adding 15:
x + 15 +15 = 7x
Subtracting x:
15 +15 = 7x - x
Operating:
30 = 6x
Dividing by 6:
x = 30 / 6
x =5
7x = 35
Thus Zeina had 35 books and Ali had 5 books