
Aime F. answered 07/15/23
Experienced University Professor of Mathematics & Data Science
v = 4πr³/3
Therefore by the Chain Rule,
dv/dt = 4πr²dr/dt.
Chernobog S.
asked 07/15/23A spherical snowball is melting. Its radius is decreasing at 0.8 cm per hour when the radius is 20 cm. How fast is its volume decreasing at that time?
NOTE: Enter the exact value or round to three decimal places.
The volume is decreasing by _____ cm^3 per hour.
I have been trying this for a while, I have tried the answers -1280π and -4021.239, however, both of these answers are incorrect. Could anyone please solve this step by step and explain. I am on my final attempt, please help.
Aime F. answered 07/15/23
Experienced University Professor of Mathematics & Data Science
v = 4πr³/3
Therefore by the Chain Rule,
dv/dt = 4πr²dr/dt.
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