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noname [10]
3 years ago
7

A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill th

e funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?
A. 3
B. 4
C. 9
D. 10
Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

  D.  10

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V = πr²h

  V = π(4 in)²(13 in) = 208π in³

The volume of a cone 3 inches in radius and 7 inches high is ...

  V = (1/3)πr²h = (1/3)(3 in)²(7 in) = 21π in³

Then the ratio of the volume of the cylinder to that of the cone is ...

  (208π in³)/(21π in³) ≈ 9.905

You would need to fill the funnel about 10 times to fill the can.

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The grocery store charges $10.35 for 5 bags of oranges.If someone bought 9 bags of oranges,how much would it cost then
Crank
It’s $18.63 , 10.35 divided by 5 = 2.07 , so 2.07 times 9 = $18.63
3 0
3 years ago
In a cave, a stalactite gets 44 millimeters longer each year. this year it is 72 centimeters long. how many years until it is 1
iragen [17]

Answer:

6.36 years (the .36 repeats), so rounded is 6.4.

Step-by-step explanation:

First, I'm going to convert all measurements to meters.

Since 1000 mm = 1 m, divide 44 by 1000.

44/1000 = 0.044 m

Since 100 cm = 1 m, divide 72 by 100.

72/100 = 0.72 m

Next, I'm going to setup an equation using y = mx + b.

b is the beginning amount which is 0.72.

m in the equation represents the rate which is 0.044.

y represents the total which is 1.

Plugin the numbers and solve for x.

1 = 0.044x + 0.72

1 - 0.72 = 0.044x + 0.72 - 0.72

0.28 = 0.044x

0.28/0.044 = 0.044x/0.044

6.36 = x

7 0
2 years ago
Find g (x) - f (x). <br><br> g (x) = x^2 + 1 and f (x) = 2x + 5
allochka39001 [22]

Answer:

x^2 - 2x - 4

Step-by-step explanation:

g(x) - f(x) = (x^2 + 1) - (2x + 5) = x^2 + 1 - 2x -5 = x^2 -2x +(1-5) = x^2 - 2x - 4

6 0
3 years ago
I need help please it’s due today I forgot how to do this :(
choli [55]

Answer:

Samantha payed 12.71$ for her purchase.

Step-by-step explanation:

I may have misunderstood the question, but it looks like you can use a calculator for this!

6.19 + 2.85 + 2.29 + 1.38 =

12.71

8 0
3 years ago
4x-8 = 12<br> 4x - 8 + 8 = 12 + 8<br> 4x= 20<br> 4/4x=20/4 x=
TEA [102]

Answer:

x=5

i just got it right on my quiz

5 0
3 years ago
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