<span>You have:
 
 - The diameter of the cylinder is 12 inches and its height is 14 inches.
 -The height of the cone is 6 inches.
 
 So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone. 
 
 V1=</span>πr²h
 <span>  
 V1 is the volume of the cylinder.
 r is the radius.
 h is the height (h=14 inches)
 
 The problem gives you the diameter, but you need the radius, so you have:
 
 r=D/2
 r=12 inches/2
 r=6 inches
 
 When you substitute the values into the formula, you obtain:
 
 V1==</span>πr²h
 V1=(3.14)(6 inches)²(14 inches)
 V1=1582.56 inches³<span>
 
 The volume of the cone is:
 
 V2=(</span>πr²h)/3
<span> 
 V2 is the volume of the cone.
 r is the radius (r=6 inches)
 h is the height of the cone (h=6 inches).
 
 Then, you have:
</span> 
 V2=(πr²h)/3
 V2=(3.14)(6 inches)²(6 inches)/3
 V2=226.08 inches³
<span> 
 Therefore, </span>the volume of the cake<span> (Vt) is:
 
 Vt=V1+V2
 Vt=</span>1582.56 inches³+226.08 inches³
<span> Vt=1808.6 inches</span>³
        
             
        
        
        
Answer:
V= 2 times 4 times 5
Step-by-step explanation:
In order to calculate the volume of a figure u must calculate lwh or length times width times height. In this case length is 5 width is 4 and height is 2. This can be plugged in and becomes 2 times 4 times 5.
 
        
                    
             
        
        
        
Answer:  
Step-by-step explanation:
Given : A man earned x pesos in 10 days and spent y pesos during each of those days. 
i.e. Total earning in 10 days = x
Earning per day = [By unitary method]    (1)
    [By unitary method]    (1)
Money spent per day =y      (2)
We know that

i.e. Subtract (2) from (1), we get

Hence, the expression to determine how many pesos he saved per day will be:-

 
        
             
        
        
        
Answer:
Explanation:
<u>1. Using the minimun number of sheets  of paper in the interval [300, 400]</u>
a) Cost: $ 2.00 / 100 sheets
b) 300 sheets / day × $ 2.00 / 100 sheets = $ 6.00 / day
c) Approimately 20 school days per month:
- $ 6.00 / day × 20 day = $ 120.00
<u>2. Using the maximum number of sheets of paper in the interval [300, 400]</u>
a) Cost: $ 2.00 / 100 sheets
b) 400 sheets / day × $ 2.00 / 100 sheets = $ 8.00 / day
c) Approimately 20 school days per month:
- $8.00 / day × 20 day = $ 160.00
<u>3. Middle value:</u>
Calculate the middle value between $160.00 and $120.00
- [$120.00 + $160.00] / 2 = $140.00
Thus, the answer is the option A.
 
        
             
        
        
        
Answer:
82.5% and 17.5%
Step-by-step explanation:
The telemarketer made 200 phone calls and only 35 people signed up. Therefore, we need to find the amount of people who didnt. 
200 - 35 = 165
165 people did not sign up. 
This meants that the frequency of getting a customer is 35/200 and not is 165/200. In percentages,
The relative frequency of not getting a customer is 82.5%
The relative frequency of getting a customer is 17.5%