A cylindrical container that contains three balls that are 2.7 inches in diameter is standing on its base and passes through an
x-ray scanner that scans from the top only. What outline will appear on the x-ray screen, and with what dimensions? cylindrical container with three spheres so that the spheres are stacked vertically on top of one another A rectangle that is 2.7 in x 8.1 in A rectangle that is 5.4 in x 8.1 in A circle with a diameter of 2.7 in A circle with a diameter of 5.4 in
1 answer:
You might be interested in
Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,
If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to
So the height of the ball is that product.
A(6) = .33 cm
A is your answer
