Aright circular cone is inscribed inside a larger right circular cone with a volume of 190 cm3. the axes of the cones coincide and the vertex of the inner cone touches the center of the base of the outer cone. find the ratio of the heights of the cones that maximizes the inner cone volume.

Step-by-step explanation:

From Similar triangles

Let be x

Differentiate to get V maximum

x=1 is not possible thus

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

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