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find the surface area of composite figure. use 3.14 for π. round to the nearest tenth

Find The Surface Area Of Composite Figure Use 314 For Π Round To The Nearest Tenth class=

Sagot :

Combining of the two cylinders gives a composite figure that has the surface area of a solid cylinder of radius 7 mm and height 6 mm, such that the surface area of the figure is approximately 571.5 mm².

Which method can be used to find the surface area of the figure?

Radius of the inner cylinder, r = 3 mm

Radius of the outer cylinder, R = 7 mm

Height of the cylinders, h = 6 mm

Given that the inner cylinder exactly fits into the outer cylinder, we have;

The surface area of the composite figure is the surface area of the hollow outer cylinder + The area of the top and bottom of the inner cylinder.

Which gives;

The surface area of the composite figure, A, is the surface area of a solid cylinder, using the dimensions of the hollow outer cylinder.

  • A = 2•π•R² + 2•π•R•h

Which gives;

  • A = 2 × π × 7² + 2 × π × 7 × 6

Where, π = 3.14, we have;

A = 2 × 3.14 × 7² + 2 × 3.14 × 7 × 6 ≈ 571.5

  • The surface area of the composite figure, A ≈ 571.5 mm²

Learn more about the analyzing of composite figures here:

https://brainly.com/question/21135654

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