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Drupady [299]
2 years ago
3

Compare and contrast the formulas for calculating the volume of a cone and the volume of a pyramid. Give a mathematical example

to illustrate your discussion.
Mathematics
1 answer:
Finger [1]2 years ago
8 0

The similarity between the volume of a cone and the volume of a pyramid is that:

  1. Both of them have a base which extends into a single vertex.
  2. Both formulas are given by 1/3 × b × h.

In contrast, the differences between the volume of a cone and the volume of a pyramid include:

  1. A cone has a single edge while a pyramid has a minimum of 6 edges.
  2. The base of a cone is always a circle while the base of a pyramid is a polygon.

<h3>How to calculate the volume of a cone?</h3>

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

<u>Where:</u>

  • h is the height.
  • r is the radius.

<h3>How to calculate the volume of a pyramid?</h3>

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

<u>Where:</u>

  • h is the height.
  • b is the base area.

In this context, we can infer and logically deduce that the similarity between the volume of a cone and the volume of a pyramid is that:

  1. Both of them have a base which extends into a single vertex.
  2. Both formulas are given by 1/3 × b × h.

On the other hand (conversely), the differences between the volume of a cone and the volume of a pyramid include:

  1. A cone has a single edge while a pyramid has a minimum of 6 edges.
  2. The base of a cone is always a circle while the base of a pyramid is a polygon.

Read more on pyramids here: brainly.com/question/23215508

#SPJ1

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