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alexandr402 [8]
3 years ago
9

niko got the jumbo ice cream cone at the Dutchess County Fair. The amount of ice cream can be modeled using a cone whose height

is 12 centimeters and radius of 4 cm. A hemisphere and then a full sphere of ice cream the same radius were loaded on top of the cone as shown. If there are 237 cubic centimeters in a cup and 320 calories per cup of ice cream, how many calories is this treat if the cookie cone itself has 85 calories?
Mathematics
1 answer:
lakkis [162]3 years ago
5 0
There are 897.8 calories in this treat, assuming the cone is filled with ice cream as well.

The formula for the volume of a cone is V=1/3πr²h, and the formula for the volume of a sphere is V=4/3πr³.

For the cone, we have dimensions r = 4 and h = 12:

V=(1/3)(3.14)(4²)(12) = 200.96 cm³.

For the hemisphere, we know that r = 4:
V=(4/3)(3.14)(4³)(1/2) [because it's half of a sphere]
 = 133.97 cm³

The whole sphere will be twice that number, so 

V= 133.97(2) = 267.94

Adding all of these together, we have:

200.96+133.97+267.94 = 602.87cm³

Since there are 237 cm³ in a cup, we divide our total volume by 237:

602.87/237 = 2.54 c

Multiply this by 320 calories per cup:
2.54(320) = 812.8

Add the 85 calories for the cone:
812.8 + 85 = 897.8
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Rudi bought 12.5 yards of fabric to make pillows. Each pillow requires 1.75 yards of fabric. Use compatible numbers to estimate
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3 years ago
Read 2 more answers
This table shows the number of points two teams scored in five games
mezya [45]

Answer:

2.16

Step-by-step explanation:

The question is on mean absolute deviation

The general formula ,

Mean deviation = sum║x-μ║/N where  x is the each individual value, μ is the mean and N is number of values

<u>Team 1</u>

Finding the mean ;

mean= \frac{51+47+35+48+64}{5}  =49

Points     Absolute Deviation from mean

51                          2

47                         2

35                        14

48                         1

64                         15

<u>Sum    </u>                34          

Absolute mean deviation = 34/5= 6.8

<u>Team 2</u>

Finding the mean

mean=\frac{27+55+53+38+41}{5} = 42.8

Points                      Absolute deviation from the mean

27                                    15.8

55                                    12.2

53                                     10.2

38                                      4.8

41                                       1.8

<u>Sum                                 44.8        </u>

Absolute deviation from the mean = 44.8/5 =8.96

Solution

Difference in mean absolute deviation of the two teams = 8.96-6.8 = 2.16

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