- #1
sporus
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Homework Statement
A cubical block of ice is melting in such a way that each edge decreases steadily by 9.8 cm every hour. At what rate is its volume decreasing when each edge is 10 meters long?
Homework Equations
V(t) = (l(t))^3 m^3
l'(t) = 0.098 m/h
The Attempt at a Solution
V'(t) = f'(g)*g(t) chain rule formula, f(g) = g^3, g(t) = l = 10
V'(t) = 3g^2 * 0.098
V'(t) = 3(10)^2 * 0.098
V'(t) = 300 * 0.098
V'(t) = 29.4 m^3/h