Calculus Ch. 2 Name________________________
Section 2.6
1. As sand leaks out of a hole in a container, it forms a conical pile whose altitude is always the same as
its radius. If the height of the pile is increasing at a rate of 6 in/min, find the rate at which the sand is
leaking out when the altitude is 10 in.
2. Gas is being pumped into a spherical balloon at a rate of
3
5 ft / min
. If the pressure is constant, find
the rate at which the radius is changing when the diameter is 18 inches.
3. Suppose a spherical snowball is melting and the radius is decreasing at a constant rate, changing
from 12 inches to 8 inches in 45 minutes. How fast was the volume changing when the radius was 10
inches?
