Chan makes a snowball that has a diameter of 6 m how long will it take the snowball to melt if it melts at a rate of 2.3 cm/min.

Answer 1

think about the radius of the snowball as a function of time

R(t) = 300 - 2.3t

At t=0, the radius is 300 cm

At t=10, the radius is 277 cm

the snowball will be 'melted' when the radius is 0

So, set R(t) = 0 and solve for t

0 = 300 - 2.3t

2.3t = 300

t ≈ 130.44 minutes