HOW MANY BASEBALLS CAN FIT INTO THE TRACTOR TRAILER

Question

HOW MANY BASEBALLS CAN FIT INTO THE TRACTOR TRAILER. THE TRAILER DIMENSIONS ARE 301.5"L X 96.99"W X 105.04"H AND CIRCUMFERENCE RANGE OF THE BASEBALL IS 9 TO 9.25 INCHES

Answer 1

V = lwh

V = 301.5(96.99)(105.04)

V = 3,071,630.624 in³

 

C = 2πr                      C = 2πr

9 = 2πr                  9.25 = 2πr

r = 9/2π                     r = 9.25/2π

r = 1.4324                  r = 1.4722           

V = 4/3 π r³                V = 4/3 π r³                
V = 4/3 π(1.4324)³      V = 4/3 π(1.4722)³

V = 12.3105 in³           V  = 13.3652 in³

 

3,071,630.624/12.3105 = 249,513

3,071,630.624/13.3652 = 229,823

Between 229,823 and 249,513 baseball will fit into the trailer.