## snowball melts, area decreases at given rate (related rates problem)

Calculus Related Rates Problem: As a snowball melts, its area decreases at a given rate. How fast does its radius change? A spherical snowball melts symmetrically such that it is always a sphere. Its surface area decreases at the rate of $\pi$ in$^2$/min. How fast is its radius changing at the instant when $r =… [read more]

## snowball melts (related rates problem)

Calculus Related Rates Problem: As a snowball melts, how fast is its radius changing? A spherical snowball melts at the rate of $2 \pi$ cm$^3$/hr. It melts symmetrically such that it is always a sphere. How fast is its radius changing at the instant $r = 10$ cm? Hint: The volume of a sphere is… [read more]