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Baseballs are packed into a square box with sides 22 inches long. The baseballs can be touching, but they can't be compressed. The remaining space is filled with packing beads. a. What are the dimensions of the box in terms of baseballs? b. How many baseballs can be packed in the box? (Diameter of a baseball is 2.9 in.) V = c. What is the volume of ONE baseball? (Remember d. What is the volume occupied by ALL of the baseballs?

Baseballs are packed into a square box with sides 22 inches long. The baseballs can be touching, but they can't be compressed. The remaining space is filled with packing beads. a. What are the dimensions of the box in terms of baseballs? b. How many baseballs can be packed in the box? (Diameter of a baseball is 2.9 in.) V = c. What is the volume of ONE baseball? (Remember d. What is the volume occupied by ALL of the baseballs?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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questions a,b, and c

1. Baseballs are packed into a square box with sides 22 inches long. The baseballs can be touching, but they can't be compressed. The remaining space is filled with packing beads. a. What are the dimensions of the box in terms of baseballs? b. How many baseballs can be packed in the box? (Diameter of a baseball is 2.9 in.) c. What is the volume of ONE baseball? (Remember V =-nr³. )? d. What is the volume occupied by ALL of the baseballs? e. What is the volume of the box? f. What is the volume occupied by the packing beads? g. What percentage of the volume of the box is filled with beads? h. What percentage of the volume of the box is filled with baseballs?
Transcribed Image Text:1. Baseballs are packed into a square box with sides 22 inches long. The baseballs can be touching, but they can't be compressed. The remaining space is filled with packing beads. a. What are the dimensions of the box in terms of baseballs? b. How many baseballs can be packed in the box? (Diameter of a baseball is 2.9 in.) c. What is the volume of ONE baseball? (Remember V =-nr³. )? d. What is the volume occupied by ALL of the baseballs? e. What is the volume of the box? f. What is the volume occupied by the packing beads? g. What percentage of the volume of the box is filled with beads? h. What percentage of the volume of the box is filled with baseballs?
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