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inna [77]
3 years ago
11

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed

inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of .) 452.16 cm3 840.54 cm3 1,055.04 cm3 1,456.96 cm3 NextReset
Mathematics
2 answers:
AURORKA [14]3 years ago
6 0
The volume of air surrounding the cone and inside the cylinder will be the difference of the volume of cylinder and the cone. 

So,

Volume of air = Volume of cylinder - Volume of cone

= \pi r^{2}h- \frac{1}{3} \pi  r^{2}h \\  \\ 
=3.14(5)^{2}(16)- \frac{1}{3}(3.14) (4)^{2}(12) \\  \\ 
=1055.04

Thus, the volume of the air surrounding the cone and inside the cylinder will be 1055.04 cubic centimeter
marin [14]3 years ago
6 0
Volume of air = volume of cylinder - volume of cone

cylinder = pi * r * r * h
cone  = pi * r * r * h/3

substitute the values;
The volume of air is equal to 1055.05cu.cm
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9. A contestant on a game show must guess the price of a new car. The contestant will
iren [92.7K]

Given :

A contestant on a game show must guess the price of a new car. The contestant will  win if his guess is within $1000 of the price of the car.

To Find :

If the price of the car is  $24,995 and the contestant's guess is represented by g, what absolute value  inequality represents this situation.

Solution :

Let, range in which participant guess would be considered correct is r.

So, r should be in range $( 24,995 ± 1000 ).

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4 0
3 years ago
jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.
I am Lyosha [343]

Answer:

f=17\\p=9\\

Step-by-step explanation:

Let

f= Full-time\\p=Part-time

Full time rates-$275, Part-time rates-$140

The problem can be expressed as:

f+p=26...eqtn1\\275f+140p=5935....eqtn2\\

Express eqtn1 in terms of f,f=26-p

Substitute f value in eqtn 2.

=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17\\

Therefore,  jeds has 17 fulltime and 9 parttime employees.

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Answer:

4

Step-by-step explanation:

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