Answer:
Paul can make the diameter of the hole 1 inch greater than that of the ball
Explanation:
we are going to assume a diameter of the hole has 6in
the radius of the ball is 3in
we looking at a range of the hole greater by (3<4)
we know that the circumference of a circle is given as
the circumference of the ball is
C=2πr
C=2*3.142*3
C=18.85in
The circumference of the hole is ( 1 inch greater )
C=2πr
say the diameter is 6in plus 1in = 7in
the radius =3.5in
C=2*3.142*3.5
C=21.99
compare with the ball the difference is 21.99-18.85
=3.14 which is in the range
The circumference of the hole is ( 2inches greater. )
C=2πr
say the diameter is 6in plus 2in = 8in
the radius =4in
C=2*3.142*4
C=25.13in
compare with the ball the difference is 25.13-18.85
=6.28 which is out of the range