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Geometry and Measurement Videos 87 videos
SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?
SAT Math: Geometry and Measurement Drill 1, Problem 2. If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?
SAT Math 1.3 Geometry and Measurement. Find the length of CE.
SAT Math: Applying the Volumes of Cubes and Spheres to Packing Ping-Pong Balls 13 Views
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Description:
Timothy is moving and wants to pack his ping pong balls into the box shown above. Each ping pong ball has a diameter of 2 inches. If he packs this box with the maximum number of ping pong balls possible, how much empty space in cubic inches would the box have? Round to two decimal places.
Transcript
- 00:00
Yeah News twenty four and eight packs time three twenty
- 02:02
four twenty four is the number Timothy compact 204 ping
- 02:05
pong ball so he can prep for a really intense
- 02:08
game of ping pong War on the problem Asked how
- 02:10
much empty space there is left so we're gonna find
Full Transcript
- 02:13
out how much space there is in the box It's
- 02:16
occupied by the ping pong ball so it's a volume
- 02:19
question We've got the volume of a sphere Remember that
- 02:21
formula four thirds pi r cubed Well the diameter the
- 02:24
balls two inches So the radius is half of that
- 02:26
which is one inch and the amount of empty space
- 02:28
in the box The volume ball ping pong balls subtracted
- 02:30
from the total volume of the box So it's pretty
- 02:32
simple right So let's see that's going to give us
- 02:35
this equation here four times eight times six minus twenty
- 02:38
four times this quantity It's a building with box and
- 02:40
that'll just simplify too Well See the volume of the
- 02:44
box was for a sex that's one ninety two cubic
- 02:47
inches and that we're going to subtract the volume of
- 02:49
the ping pong balls that they take up which is
- 02:51
about thirty two pie So the answer is about ninety
- 02:54
one point four seven That is there would be approximately
- 02:57
ninety one point four seven cubic inches of empty space
- 02:59
left in the box Maybe timothy can fill that space
- 03:03
with his toy story tears Anything All right we're done
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