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A cylindrical container that contains three tennis balls that are 2.7 inches in diameter is lying on its side and passes through an x-ray scanner that scans from the top only. What outline will appear on the x-ray screen, and what are the dimensions?

cylindrical container with three spheres side by side so that the spheres are laying horizontally

A circle with a diameter of 2.7 in
A circle with a diameter of is 5.4 in
A rectangle that is 5.4 in x 8.1 in
A rectangle that is 2.7 in x 8.1 in

Respuesta :

Let's take this problem step-by-step:

Let's take the case of the tennis ball first:

  ⇒ the diameter of the balls are 2.7inches

           ⇒ therefore they are spheres with diameters of 2.7 inches

               ⇒ for an x-ray they are circles with a diameter of 2.7in

Now for the cylinder container:

 ⇒ It has a width of 2.7inches

 ⇒ Its height:

      ⇒ is three balls stacked together

          ⇒ Height is 3 * 2.7in = 5.4 inches

   ⇒ Overall dimension: A rectangle that is 2.7 in x 8.1 in

Answer:

  • A circle with a diameter of 2.7 in
  • A rectangle that is 2.7 in x 8.1 in

Hope that helps!

#LearnwithBrainly

The dimension of the rectangle will be 2.7 inches and 8.1 inches. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A cylindrical container that contains three tennis balls that are 2.7 inches in diameter is lying on its side and passes through an x-ray scanner that scans from the top only.

The project of the cylinder will look like a rectangle.

The width of the rectangle is the diameter of the base circle of the cylinder.

W = d

W = 2.7 inches

And the height of the rectangle will be the three times the diameter of the spherical tennis ball.

H = 3d

H = 3 x 2.7

H = 8.1 inches

Thus, the dimension of the rectangle will be 2.7 inches and 8.1 inches.

Then the correct option is D.

More about the geometry link is given below.

https://brainly.com/question/7558603

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