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horsena [70]
1 year ago
6

A​ cone-shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to one-sixth its​ hei

ght, what portion of the volume of the cup is filled with​ water?
Mathematics
1 answer:
Liono4ka [1.6K]1 year ago
8 0

Answer:

  1/216

Step-by-step explanation:

The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.

<h3>Linear scale factor</h3>

If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.

<h3>Volume scale factor</h3>

The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...

  (1/6)³ = 1/216

The volume of the filled portion of the cup is 1/216 of the volume of the cup.

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A fitness club charges $25 per month as well as a one-time $80 fee of all new members which equation represents the cost in doll
madam [21]

Answer: So if you want to find the total cost (c) for a certain number of months (m) and it costs $35 per month, you just need to multiply the number of months by the cost per month. So

35m=c

If you want to see the units cancel

($35/month)(months)=$

The months will cancel out, and you will be left with total dollars.

Not sure about the second part of your question, but if you wanted to figure out how much it would cost to be a member for 6 months, you would just plug in 6 for m.

35(6)=c

c=210

So $210

Step-by-step explanation:

4 0
3 years ago
Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns a
nordsb [41]

D. If you were to say the given ratio aloud, it would go something like this: 4 to 3, 4,3 or 4 sports video games to 3 driving ones. So, the answer is 4 to 3, or answer D.

6 0
3 years ago
a recycling bin is in the shape of a rectangular box. find the height of the box if its length is 16ft, its width is 6 ft, and i
Andre45 [30]

Answer:

Height 4 ft

Step-by-step explanation:

Surface area= 2(lw + lh + wh) =

2(16)16)+2(16h)+2(6h) =

2(16)(6)+32h+12h=368

192 + 44h = 368

44h = 368 - 192

44h = 176

h = 176/44

6 0
2 years ago
Solve -11 &gt; -1 - 2x<br> solve your answer step by step
tatiyna
Answer is the picture below:

7 0
3 years ago
I need the solving and the answer please <br> thank you
Lorico [155]

Answer:

Step-by-step explanation:

11x - 2° = 75° ( being corresponding angles )

11x = 75° + 2°

11x = 77°

x = 77°/ 11

x = 7°

hope it helps :)

7 0
2 years ago
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