Question

The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr a cylinder with a circumference of about 63 mm a cylinder with a circumference of about 126 mm a cone with a base circumference of about 63 mm a cone with a base circumference of about 126 mm

Answer 1

Answer:

C. A cone with a base circumference of about 63 mm

Step-by-step explanation:

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Answer 2

The shape and the circumference of the base created by the rotation is; Cone and Circumference of 63 mm

What shape is created by rotation?

We are given;

Each side of equilateral triangle = 20 mm

Now, when the triangle is rotated about the line ‘a’ which passes through the midpoint of any of the 3 sides of the equilateral triangle we will get a conical shape.

The distance from the line a which cuts one side of a triangle to one vertex of the triangle is the radius = 10 mm

We know that;

Circumference of a circle = 2πr

Thus;

C = 2 × 3.14 × 10

C = 6.28 × 10

C = 62.8 mm

C = 63 mm

Thus, the approximate circumference of the base is 63 mm.

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