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nadya68 [22]
3 years ago
11

The radius of a 10 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.1 inch. What is the

resulting possible error in the volume of the cylinder? Include units in your answer.
Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0

Answer:


Step-by-step explanation:

Given that a cylinder has radius equal to 10 inches but measured to be 4 inches

The margin of error is +1 or -1 meaning that

the radius can take values between 3.9 and 4.1 inches

Volume of cylinder =\pir^{2} h\\=100\pih

where h is height

The above is the actual volume.

Measured volume would be between radius 3.9 and 4.1 inches

i.e. Measured volume =\pi(3.9)^2 h

Volume would be between these two values

Possible error =100-15.21 = 84.79 pi h

OR = 84.19 pi h cubic inches

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Translate the description as an algebraic expression:
charle [14.2K]

Answer:

13/20p

Step-by-step explanation:

Here, we want to write an expression from the given statement

We start from the product of 20 and p

Mathematically. that is 20 * p = 20p

Now to find the ratio, we simply place 12 over the product

We have this as;

13/20p

5 0
3 years ago
Help please i am stuck on what to do
nikklg [1K]

Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

so

green = 3*  yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

30% = green

there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

so

4    are yellow  (10% of 40  or 40* 0.1)

12 are green    (30% of 40  or 40*0.3)

14  are purple  (35% of 40 or 40*0.35)

10  are grey  (25% of 40  or 40*0.25 )

see?  : |

6 0
3 years ago
Please help!!!!!!!!!!!!!!
vfiekz [6]

Answer:

Step-by-step explanation:

A p - 4 is the answer to your question

8 0
3 years ago
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Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled b
yanalaym [24]
N-2.5 represents the cost for each shirt being subtracted by $2.50 due to the coupon
5 0
2 years ago
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What are the vertex focus and directrix of a parabola with equation x=y^2+14y-2
zimovet [89]
This is a sideways opening parabola, opening to the right to be more specific, since the leading coefficient is a positive 1.  The rule for a focus and a directrix is that they are the same number of units from the vertex (in other words, the vertex is dead center between them), and that the vertex is on the same axis that the focus is.  We need to find the vertex then to determine what the focus and the directrix are.  We will complete the square on that to find the vertex.  Begin by setting it equal to 0, then move the 2 over by addition to get y^2+14y=2.  Now we will complete the square on the y terms.  Take half the linear term, square it, and add it to both sides.  Our linear term is 14.  Half of 14 is 7, and 7 squared is 49. So we add 49 to both sides. y^2+14y+49=2+49, which of course simplifies to y^2+14y+49=51.  The purpose of this is to find the k coodinate of the vertex which will be revealed when we write the perfect square binomial we created during this process: (y+7)^2=51.  Moving the 51 back over by subtraction gives us (y+7)^2-51=x.  The vertex then is (-51,-7).  The formula to find the focus using this vertex is (h+ \frac{1}{4a},k).  As I stated quite a while ago, the leading coefficient on our parabola was a +1 so our "a" value is 1, and the focus is then found in (-51+ \frac{1}{4},-7) which simplifies to (-50.75, -7).  If the vertex is (-51, -7) and the focus is (-50.75, -7), then the distance between them is 1/4, or .25.  That means that the directrix is also .25 units from the vertex, but in the other direction.  Our directrix is a vertical line, and it will have the equaion x = -51.25.  Summing up, your focus is (-50.75, -7) and your directrix is x = -51.25
7 0
3 years ago
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