Asked by Anonymous
While building a snowman, a large snowball is created at the rate of 5 inches per hour. How fast is the volume of the snowball changing at the instant the snowball has a radius of 10 inches?
Answers
Answered by
Reiny
... at a rate of 5 inches/hr sounds like a linear rate of change.
I will assume that the radius is changing at that rate
V = (4/3)pi r^3
dV/dt = 4pi r^2 dr/dt
dV/dt = 4pi(100)(5)
= 2000pi cubic inches/hr
I will assume that the radius is changing at that rate
V = (4/3)pi r^3
dV/dt = 4pi r^2 dr/dt
dV/dt = 4pi(100)(5)
= 2000pi cubic inches/hr
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