Question

The maximum volume (in cu. m) of a right circular cone having slant height \(3\) m is

• A. \(6\pi\)
• B. \(3\sqrt3\,\pi\)
• C. \(\dfrac{4\pi}{3}\)
• D. \(2\sqrt3\,\pi\)

Hint:

When the slant height of a cone is fixed, use \(r^2+h^2=l^2\) to eliminate one variable. Then differentiate the volume function to obtain the maximum volume.

Answer 1

The Correct Option is D