II. Using Trigonometry to Calculate Radius & Height 2a) Notice a right triangle is formed within the cone by the height and the radius. Use a trig function to write an equation and then solve the equation for r to find the radius of the cone. Radius =(10sin( theta ))/(r) Sin( theta )=(10)/(10) r=10sin( theta ) Radios =10sin( theta ) b) Using

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II. Using Trigonometry to Calculate Radius & Height 2a) Notice a right triangle is formed within the cone by the height and the radius. Use a trig function to write an equation and then solve the equation for

r

to find the radius of the cone.

 Radius =(10sin(\theta ))/(r)
Sin(\theta )=(10)/(10)
r=10sin(\theta )
 Radios =10sin(\theta )

b) Using the same right triangle, write an equation to find the height of the cone.

 Height =10cos(0)cos(\theta )=(h)/(10)
h=10cos(\theta )
 Helght =10cos(\theta )

4a) Refer back to section II to find your equation for the volume of the cone. Graph it in your graphing calculator, with

x

representing the angle

\theta

and

Y

representing the volume of the cone

V

. Sketch the graph below in the appropriate window. b) Use your calculator and the equation you wrote to approximate the exact angle that maximizes the volume. Approximate to three decimal places. -use the first part as reference

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