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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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If k, m, and n are all prime numbers, list all factors of k∙m∙n.
kompoz [17]

Answer:

Factors of kmn are 1, k, m, n, km, mn, kn and kmn

Step-by-step explanation:

Given: k, m, and n are prime numbers

To find: factors of k∙m∙n

Solution:

A number is said to be prime if it has exactly two factors: 1 and the number itself

x is said to be a factor of y if x can divide y exactly.

Here,

1 can divide kmn

k can divide kmn

m can divide kmn

n can divide kmn

km can divide kmn

kn can divide kmn

mn can divide kmn

kmn can divide kmn

So, factors of kmn are 1, k, m, n, km, mn, kn and kmn

7 0
3 years ago
The camp cook made 3 1/2 pints of baked beans. Each serving of beans is 1/2 of a pint. How many servings of beans did the cook m
Ilia_Sergeevich [38]

Answer:

The cook made 7 pints

Step-by-step explanation:

Just minus the half pints

5 0
3 years ago
What decimal part of $2 is 40 cents?
adelina 88 [10]

Answer:

Step-by-step explanation:

1.60

6 0
3 years ago
Read 2 more answers
4. Convert the following fractions to decimals<br> 1. 23/100
MAVERICK [17]

Answer:

0.23

Step-by-step explanation:

Using either long division or a calculator, divide 23 by 100; you will get the result 0.23.

8 0
3 years ago
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I'LL GIVE BRAINLIEST HELP
sesenic [268]

Answer:

a. O = h - 40

b. 0, 4, 8, 12

Step-by-step explanation:

Let numver of overtime hours Jim workes for defined by O.

Standard working hours in a week for Jim = 40 Hours

If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.

⇒ O = h - 40

now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be

O = 40 - 40 = 0 Hours

O = 44 - 40 = 4 Hours

O = 48 - 40 = 8 Hours

O = 52 - 40 = 12 Hours respectively.

8 0
3 years ago
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