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Harrizon [31]
3 years ago
11

10 A solid metallic cylinder of radius 14 cm and

Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer:

72 spheres are formed

Step-by-step explanation:

We start by calculating the volume of the metallic cylinder

Mathematically, we have this as;

V = pi * r^2 * h

V = pi * 21 * 14^2

V = 4116 π cm^3

The volume of each small sphere is;

V = 4/3 * pi * r^3

= 4/3 * π * 7/2^3 = 57.167 π cm^3

To get the number of small spheres, we simply divide the volumes

That will be 4116 pi / 57.167 pi = 72

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VikaD [51]

Answer:

D

Step-by-step explanation:

The volume of Model A is 48 cm³. The volume of Model B is 40 cm³. 48+40=88.

7 0
3 years ago
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on vacation sally stopped in Algebraville because of their famous pizza house pi-pizza. There they sold pizza by the slice. A sl
Eddi Din [679]

Answer:

600 Cheese and 900 Pepperoni

Step-by-step explanation:

Setup the equation with 2c(Cheese) + 2.5p(Pepperoni) = $3450(Total Made).

In addition to the equation c + p = 1500(Number of pizzas sold)

Using the second equation (c + p = 1500) solve for one of the variables.

Lets use :

  1. p = 1500 - c
  2. Plus this equation into the original equation, 2c + 2.5(1500 - c) = 3450
  3. Distribute 2.5, 2c + 3750 - 2.5c = 3450
  4. Combine like terms -0.5c + 3750 = 3450
  5. Solve for c: c = 600
  6. Plus 600 in for c into any equation ( lets use c + p = 1500)
  7. 600 + p = 1500
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5 0
3 years ago
6p ≥ −24 plz help me
jolli1 [7]
Divide both sides by the coefficient 6 to get p <span>≥ −24/6 = -4

p </span><span>≥ −4</span>
7 0
3 years ago
What is the volume of the rectangular prism?
Angelina_Jolie [31]

Answer: A

Step-by-step explanation:

volume of a rectangular prism is l*w*h

the values for l,w, and h are given

l = 4 1/3, or 13/3

w = 3 1/3 or 10/3

h = 4

now multiply all three values together

13/3 * 10/3 * 4 = (13*10*4)/(3*3) =520/9

= 57 7/9

8 0
4 years ago
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DiKsa [7]

Answer:

$3.50 if they all equal the same amount.

Step-by-step explanation:

If six comic books are bought with $21, and we assume they are all the same amount of money, we would simply divide our cost ($21) by our quantity (6).

21/6 = 3.5

Therefore, the cost of one comic book equals $3.50.

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3 years ago
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