An open conical container is made from a sector of a circle of radius 10 cm as illustrated in Figure 2 16, with sectional angle (radians) The capacity Ccm 3 of the cone depends on Find the formula for C in terms of and the simplest associated function that could be studied if we wish to maximize C ...

Let the cone have base radius rcm and height hcm Then its capacity is given by C rh with r and h dep ...

An open conical container is made from a sector of a circle of radius 10 cm as

Question:

An open conical container is made from a sector of a circle of radius 10 cm as illustrated in Figure 2.16, with sectional angle θ (radians). The capacity Ccm³ of the cone depends on θ. Find the formula for C in terms of θ and the simplest associated function that could be studied if we wish to maximize C with respect to θ.

10 cm 10cm