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? image description: 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

The correct option is:

A rectangle that is 5.4 in x 16.2 in

Step-by-step explanation:

As the container is lying on its side, and the scanner scans from the top, it means that scanner will get a 2D of cylinder where its length and width can be seen

First, whenever a cylinder is look at from one side, it will look like a rectangle.

As the cylinder is fitted with 3 balls along its length, the length of the rectangle will be equal to the sum of diameters of all three balls, that is 5.4+5.4+5.4 = 16.2 inches

As only one ball fits along the width of the, the width of the container will be equal to diameter of one ball, that is 5.4 inches

Hence, a rectangle will formed, with the dimensions of 5.4 × 16.2 in

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.