Question

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

Answer 1

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!

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