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maksim [4K]
2 years ago
14

Which explanation can be used to informally derive the formula for the volume of a cone?.

Mathematics
1 answer:
Elis [28]2 years ago
6 0

The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

<h3>The formula for the volume of a cone</h3>

If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.

This makes a difference in the volume of the two objects.

Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.

Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Learn more about Cone:

brainly.com/question/1315822

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Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul
Stella [2.4K]

Answer:  F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.


Explanation:


1) The three expresssions,  F / 0.15;  15 F / 100; 3F / 20; are equivalent.


2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:


  • Call n the amount of figurines owned last year.
  • F is the number of figurines purchased: F  = 15%n = 0,15n
  • Hence, you just need to clear F from the expression F = 0.15n
  • Divide both sides by 0.15:

        F / 0.15 = n or n = F / 0.15 (reflexive property)

  • To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

       (F / 0.15) × (100 / 100) = 100F / 15

        100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

 



4 0
3 years ago
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68% is around 70%
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A bex contains 5 plain pencis and 5 pens. A second box contains 5 color pencils and 3 crayons. One item from each box is chosen
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Step-by-step explanation:

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Step-by-step explanation:

slope intercept form is: y = mx + b

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you rise 3, over one which is 3/1, but simplifies to 3

b is your y-intercept, find it by seeing where the line crosses the y-axis, which is -6

therefore, your answer is: y = 3x - 6

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Answer: 2/5

Step-by-step explanation:

In the attachment

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