The answer is 15 in³.
The volume of the cone is:

where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:

where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:

<span>

</span>
We can include V₂ into V₁:

⇒ 


 
 
        
        
        
Answer:
4,600
Step-by-step explanation:
92,000/8= 11500
11500 x 4= 46000 to his wife
11500 for the son
92000-57500= 34500
34500/5= 6,900 each charity
11500-6900= 4600 is how more he is getting than each charity
 
        
                    
             
        
        
        
Answer:
4 r^3 
Step-by-step explanation:
sqrt ( 16 r^6 )    = sqrt ( 4^2 * (r^3)^2  )    =   4 r^3 
 
        
             
        
        
        
Hello there! Ashton needs 48 more dollars.
Well, to start, you want to find 60% of 120. To do this, you first have to convert 60% into a decimal by dividing it by 100.
60/100 = 0.6
Next, multiply 0.6 by your total needed, 120, to finish finding 60% of 120.
120 x 0.6 = 72.
So he already has 72 dollars, but how many more does he need? You can find this by subtracting 72 from 120.
120 - 72 = 48.
So, this means he needs 48 more dollars. I hope this helps and have a great rest of your day! Please let me know if you need further help with this question. :) 
 
        
             
        
        
        
5x+3y=12
Subtract 5x from both sides 
3y=-5x+12
Divide by 3
Y=-5/3x +4