A cylindrical container that contains three tennis balls that are 5.4 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 5.4 in
A circle with a diameter of is 10.8 in
A rectangle that is 5.4 in x 16.2 in
A rectangle that is 10.8 in x 16.2 in

To find the volume of the leftover space, you need to find the total volume (volume of the cylinder) and the volume of the balls (spheres), then subtract to find everything IN the cylinder and OUTSIDE the balls. Note that for both the cylinder and the spheres, the radius is 1.5 since the diameter is 3.

The formula for the volume of a cylinder is +pi%2Ar%5E2%2Ah+. This is approximately +3.14%2A1.5%5E2%2A9=63.585. The volume of a sphere is +4%2F3%2Api%2Ar%5E3. In your case, this is about 4%2F3%2A3.14%2A1.5%5E3=14.13. However, there are 3 balls. Since each one is 14.13 cubic inches, we'll multiply by 3 and get 42.39. We can now subtract the total minus the balls: 63.585-42.39=21.195 cubic inches.

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