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Approximating changes Approximate the change in the volume
Chapter 4, Problem 26E(choose chapter or problem)
QUESTION:
Approximate the change in the volume of a right circular cone of fixed height h = 4 m when its radius increases from r = 3 m to r = 3.05 m \(\left(V(r)=\pi r^{2} h / 3\right)\).
Questions & Answers
QUESTION:
Approximate the change in the volume of a right circular cone of fixed height h = 4 m when its radius increases from r = 3 m to r = 3.05 m \(\left(V(r)=\pi r^{2} h / 3\right)\).
ANSWER:Solution 26E STEP 1 According to the approximation formula we can write f(x + x) f(x) =f (x).x f = f(x).x, Where f is the function,x is the variable and x is the change in x. STEP 2 Therefore according to this question, we have to appro