
Bradford T. answered 12/07/20
Retired Engineer / Upper level math instructor
V=(π/3)r2h = 3πh
dV/dt = 3π dh/dt
Don't really need implicit differentiation for this simple relationship, just straight differentiation.
Joe L.
asked 12/07/20Write down an equation that relates the two quantities described. Then use implicit differentiation to obtain a relationship between the rates at which the quantities change over time. The volume V and height h of a cone with a fixed radius of 3 units.
Bradford T. answered 12/07/20
Retired Engineer / Upper level math instructor
V=(π/3)r2h = 3πh
dV/dt = 3π dh/dt
Don't really need implicit differentiation for this simple relationship, just straight differentiation.
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