Geometric Nets Suppose you could split open and flatten an ice cream cone. Before doing so,...

Geometric Nets

Suppose you could split open and flatten an ice cream cone.

Before doing so, you measure the circumference around the top of the cone and find it is 9.4 inches.

What is the radius of the opening of the cone approximated to the nearest tenth of an inch?Explain your answer.

Draw a picture of the flattened cone.

Explain how the circumference of the cone translates to the shape of your drawing.

Solutions

Expert Solution

First consider the figure of a Cone as shown below:

The measure of the top red colored contour of the cone is the circumference of the cone.

The radius of the top opening which is actually a circle is denoted as .

We have to find the radius of opeing of the cone ( which is basically a circle ) when its circumference is given:

The formula for circumference is given by:

As given circumference =9.4 inches , Therefore:

When approximated to nearest tength, it becomes:

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When we cut open and flatten an ice cream cone, it's shape becomes as a sector of a circle having arc length of or equal to the circumference of the circle.

The picture of flattened cone is as follow:

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After opening of the cone, the circumference of the cone translates to the arc of a circle as shown in the picture above. The length of this arc is equal to circumference of the top circle of the cone (before opening).

milcah answered 1 year ago

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