Bilal's fishing line was on a spool with a radius of 4cm. Suddenly, a fish pulled on the line, and the spool spun 16 times befor

Question

Helga [31]

3 years ago

14

Bilal's fishing line was on a spool with a radius of 4cm. Suddenly, a fish pulled on the line, and the spool spun 16 times befor

e Bilal began to reel in the fish. What is the distance the fish pulled the fishing line?

Mathematics

2 answers:

Aleks [24] · Answer 1 · 2022-01-07T23:14:37+03:00

First, I'd like to say that this question is flawed because the diameter of the spool changes as you pull the line out. Some would argue it's negligible I suppose.

At any rate, assuming there's a magic spool where the diameter doesn't change, let's find the cicumference so we can find the length of one wrap around the spool.

circumference = 2*pi*r = 2 * pi * 4cm = about 25.133 cm

Now if it turns 16 times we'll have 16 times the circumference.

16 * (25.133 cm)

= 402.128 cm