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worty [1.4K]
3 years ago
11

Cone A has a radius 12 inches and Cone B has a radius of 30 inches. If the cones are similar and the volume of Cone A if 48, fin

d the volume of Cone B.
Mathematics
2 answers:
ziro4ka [17]3 years ago
6 0

Answer:

  750 cubic inches

Step-by-step explanation:

The ratio of linear dimensions is ...

  (radius B)/(radius A) = (30 in)/(12 in) = 2.5

Then the ratio of volumes is

  (volume B)/(volume A) = (2.5)^3 = 15.625

So, ...

  volume B = (volume A)·15.625 = 750 . . . . cubic inches

The volume of Cone B is 750 cubic inches.

_____

The ratio of volumes is the cube of the ratio of linear dimensions (radius) when the figures are similar.

If the volume of Cone A is ...

  V = (π/3)r^2h

and the ratio of dimensions is k, then the volume of Cone B is ...

  V = (π/3)(kr)^2(kh) = (π/3)r^2h(k^3) . . . . k^3 times the volume of Cone A

Ilia_Sergeevich [38]3 years ago
4 0

Answer:

750 cubic inches.....

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3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930
antoniya [11.8K]

Answer:

The correct option is the first graph (Yes)

Step-by-step explanation:

The given function is W(d) = 930/d

Where;

W(d) = The number of days it would take to get to Washington

d = The distance travelled each day in miles

We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, <em>d</em>, while the 930 is the total distance from California to Washington, while W(d) is the time

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W(d) = 930/d

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∴ W(d) which is the time is directly proportional to the distance

The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, <em>d</em>, which is constant is a straight line graph which is the first graph

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2 years ago
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solniwko [45]

Answer:

  c.  quadrilateral

Step-by-step explanation:

All of the sides are different lengths, so the quadrilateral cannot be a parallelogram, rhombus, or square.

Its best descriptor is <em>parallelogram</em>.

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A <em>parallelogram</em> has opposite sides parallel and congruent. A <em>rhombus</em> also has adjacent sides congruent. A <em>square</em> is a special case of rhombus in which the corner angles are right angles.

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vitfil [10]

Answer:

the answer is 7800

Step-by-step explanation:to get the answer you need to multiply 650 times how many months there are in a year which are 12 so 650 times 12 equals 7800 I hope this helped you.

                                                                             

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