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Harlamova29_29 [7]
3 years ago
5

Consider a triangle ABC with AB = 2, BC = 5, and AC = 6. If the triangle is rotated around AB, what is the volume of the solid t

hat is generated?
Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer:

The volume of the solid generated is 52.33 cubic units.

Step-by-step explanation:

Given the triangle ABC

  • AB = 2
  • BC = 5
  • AC = 6

If the ABC triangle is rotated around AB, it would generate a circular cone. The volume of the generated cone can be computed using the following formula.

V=\frac{1}{3}\pi r^{2} h

From the given triangle,  

  • AB = height = 2
  • BC = radius = 5

So,  

Putting these values in V=\frac{1}{3}\pi r^{2} h would yield the volume of a circular cone.

V=\frac{1}{3}\pi r^{2} h

V=\frac{1}{3}(3.14) (5)^{2} (2)

V=52.33

Therefore, the volume of the solid generated is 52.33 cubic units.

<em>Keywords: triangle, volume, solid, right circular cone</em>

<em> Learn more about volume of solids from brainly.com/question/14311251</em>

<em> #learnwithBrainly</em>

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Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:

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