SOLUTION: A basketball with a 30-in circumference is tightly packed into a cubical box for shipment. a. What is the volume of the ball? b. What is the smallest possible volume for the

Algebra ->  Volume -> SOLUTION: A basketball with a 30-in circumference is tightly packed into a cubical box for shipment. a. What is the volume of the ball? b. What is the smallest possible volume for the       Log On


   

Question 111700This question is from textbook Topics in Comtemporary Mathematics
: A basketball with a 30-in circumference is tightly packed into a cubical box for shipment.
a. What is the volume of the ball?
b. What is the smallest possible volume for the box? This question is from textbook Topics in Comtemporary Mathematics

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
CIRCUMFERANCE=2*PI*R
30=2*3.14*R
30=6.28*R
R=30/6.28
R=4.777 IN.
VOLUME=4/3*PI*R^3
VOL=4/3*3.14*4.777^3
VOL=456.39 CUBIC INCHES FOR THE BASKETBALL.
THIS BASKETBALL HAS A DIAMETER OF:
2*4.777=9.554 INCHES FOR THE SIDES OF THE BOX.
THEREFORE THE VOLUME OF THE BOX IS:
9.554^3=872.O8 CUBIC INCHES.