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.

Additional Topics in Math | Volume formulas (word problems) |

Product Type | SAT Math |

SAT | SAT Math |

SAT Math | Additional Topics in Math Geometry and Measurement |

Test Prep | SAT Math |

out how much space there is in the box It's

occupied by the ping pong ball so it's a volume

question We've got the volume of a sphere Remember that

formula four thirds pi r cubed Well the diameter the

balls two inches So the radius is half of that

which is one inch and the amount of empty space

in the box The volume ball ping pong balls subtracted

from the total volume of the box So it's pretty

simple right So let's see that's going to give us

this equation here four times eight times six minus twenty

four times this quantity It's a building with box and

that'll just simplify too Well See the volume of the

box was for a sex that's one ninety two cubic

inches and that we're going to subtract the volume of

the ping pong balls that they take up which is

about thirty two pie So the answer is about ninety

one point four seven That is there would be approximately

ninety one point four seven cubic inches of empty space

left in the box Maybe timothy can fill that space

with his toy story tears Anything All right we're done