A right triangle whose hypotenuse is StartRoot 18 EndRoot18 m long is revolved about one of its legs to generate a right circular cone. Find the radius, height, and volume of the cone of greatest volume that can be made this way.

V = π(8 - ) = 9.11

r = 4

h =

Step-by-step explanation:

Given that the right triangle whose hypotenuse is

We know that:

<=>

The volume of the cone is:

V = π

<=> V = π

Differentiate w.r.t h

= π (8 - )

For maximum/minimum: = 0

<=> π (8 - )  = 0

<=> =

<=> h =

=> =

<=> r = 4

So the volume of the cone is:

V = π(8 - ) = 9.11

a

explanation:

inverse property is the answer

step-by-step explanation: