Question

Approximate volume of a cone whose semi-vertical angle is \[ \tan^{-1}(3) \] and base radius is \(15.001\) is

• A. \((375.025)\pi\)
• B. \((325.025)\pi\)
• C. \((375.075)\pi\)
• D. \((325.075)\pi\)

Hint:

For approximation problems, use \[ \boxed{f(x+\Delta x)\approx f(x)+f'(x)\Delta x.} \] Here, \[ V=\frac{\pi r^3}{9}, \] so \[ dV=\frac{\pi}{3}r^2\,dr. \]

Answer 1

The Correct Option is C